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Algebra Level 4

\[\large \dfrac{1}{a^4+1}+\dfrac{1}{b^4+1}+\dfrac{1}{c^4+1}+\dfrac{1}{d^4+1}=1 \]

Let \(a,b,c\) and \(d\) be positive reals satisfying the equation above, find the minimum value of \(20abcd \).

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