Hospital operator HCA is slated to become the largest-ever private equity-backed initial public offering. HCA is expected to raise $4.06 billion if it prices shares at the midpoint of the proposed range and underwriters exercise their overallotment option in full.

(For graphic on the flurry of private-equity backed deals and HCA, please click http://r.reuters.com/tav48r)

Following is a list of the 10 biggest private equity-backed IPOs in U.S. history, according to Thomson Reuters data.

HCA Holding *

$4.06 billion (expected to begin trading on March 10)

Backed by Bain, KKR , Bank of America Corp and Citigroup Inc

Kinder Morgan Inc

$3.29 billion (began trading on February 10, 2011)

Backed by Goldman Sachs Group Inc , American International Group , Carlyle Group and Riverstone Holdings

Nielsen Holdings NV

$1.89 billion (began trading on January 26, 2011)

Backed by Carlyle, Blackstone , KKR, Thomas H. Lee Partners, Hellman & Friedman and Alpinvest Partners

Spirit AeroSystems Holdings

$1.65 billion (began trading on November 20, 2006)

Backed by CPP Investment Board and Onex

Huntsman Corp

$1.59 billion (began trading on February 10, 2005)

Backed by MatlinPattereson and Huntsman Family Holdings

Hertz Global Holdings Inc

$1.32 billion (began trading on November 15, 2006)

Backed by Clayton, Dubilier & Rice Inc, Carlyle and Merrill Lynch Global Private Equity

Och-Ziff Capital Management Group LLC

$1.15 billion (began trading on November 13, 2007)

Backed by Dubai International Capital

Hyatt Hotels Corp

$1.09 billion (began trading on November 4, 2009)

Backed by Goldman Sachs Group

Talecris Biotherapeutics Holding

$1.06 billion (began trading on September 30, 2009)

Backed by Cerberus Capital Management, Ampersand Ventures

Dex Media Inc (later absorbed by Dex One Corp )

$1.01 billion (began trading on July 21, 2004)

Backed by Carlyle and Welsh, Carson, Anderson & Stowe

* HCA's net proceeds are estimated assuming the midpoint price of $28.5 per share and all underwriters exercising their overallotment option. The IPO is expected to price on Wednesday.

(Compiled by Alina Selyukh)

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