Can I do a one time correction for non-deductible IRA contributions made from 1999 to 2011 and omitted from my last 4 years of tax filings or must I amend the 4 years?

For the last 4 years, I  did not list $34,500 in non-deductible IRA contributions that I made from 1999 to 2011.  I understand this will result in a reduction in my taxes due from my current IRA distributions.  How can I correct this?  Can I do a one time correction or must I amend the tax filing for every year this applies?