There are 55 pirates and 100100 gold coins. Pirate A takes a fifth of the coins secretly. The day after, pirate B takes a fifth of the remaining coins. The days following, pirate C, D and E do the same. After the 55 of them all secretly taking some amount of coins from the pile, they split the remaining coins 55 ways.

Approximately, how many coins did pirate C end up taking?

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