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If $\frac { 4 }{ a } +\frac { 9 }{ b } +\frac { 16 }{ c } +\frac { 36 }{ d } +\frac { 49 }{ e } =8$

find the minimum value of $a+b+c+d+e$

Details and assumptions:-

$\bullet$ $a,b,c,d,e$ are positive real numbers.

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