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Let a,b,c,d and e be positive real numbe...

Let a,b,c,d and e be positive real numbers such that `a+b+c+d+e=15` and `ab^2c^3d^4e^5=(120)^3xx50`. Then the value of `a^2+b^2+c^2+d^2+e^2` is ___________.

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