(A) Determination of amounts.--If the Secretary arranges for services pursuant to this subsection, the Secretary, after consultation with the appropriate public and private school officials, shall pay to the provider of such services for a fiscal year an amount per child that does not exceed the amount determined by dividing--
(i) the total amount received by the State under this part for such fiscal year; by
(ii) the number of children with disabilities served in the prior year, as reported to the Secretary by the State under section 618.
