# Is this even possible?

Algebra Level 3

Consider the $4$ distinct points $(a, \frac{1}{a}), (b, \frac{1}{b}), (c, \frac{1}{c}), (d, \frac{1}{d})$ lying on a circle, centered at the origin, of radius $4$.

Find $a\times b\times c\times d$.

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