Can you Solve given Challenging Algebraic If-Then problem | Math Olympiad 

Math Olympiad: If, 444/(x + 555) = 666; 777/(x + 666) = ? x + 555 = 444/666 = 2/3, x = 2/3 - 555, x + 666 = 2/3 - 555 + 666 = 2/3 + 111 777/(x + 666) = 777/(2/3 + 111) = 3(777)/[2 + 3(111)] = 2331/335

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