A person writes a letter to each of his four friends. He asks each one of them to copy the letter and mail to four different persons with the instructions that they move the chain similarly. Assuming that the chain is not broken and that it costs 50 cents to main one letter. Find the total amount spent on the postage till the \(8^{\text{th}}\) set of letters is mailed.

**Details and Assumptions :**

\(\$ 1 = 100\) cents.

Submit your answer in \(\$\).

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