Fraction Frenzy!

Algebra Level 2

From \( 999999999888888887777777666666555554444333221 \) subtract half of it first, then subtract \( \dfrac{1}{3} \) of the remaining number, next subtract \( \dfrac{1}{4} \) of the remaining number, and so on, until \( \dfrac{1}{999999999888888887777777666666555554444333221} \) of the remaining number is subtracted. What is the final resulting number?

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