Let a, b, c, d and e be positive real numbers such that a+b+c+d+e=15 and a b^2 c^3 d^4 e^5=(120)^...

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Let a, b, c, d and e be positive real numbers such that a+b+c+d+e=15 and a b^2 c^3 d^4 e^5=(120)^3× 50. Then the value of a^2+b^2+c^2+d^2+e^2 is

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