Find the number of ordered triples of real numbers $(x,y,z)$ that satisfy the following systems of equations: $x^2=4y-4,y^2=4z-4,z^2=4x-4$
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Find the number of ordered triples of real numbers $(x,y,z)$ that satisfy the following systems of equations: $x^2=4y-4,y^2=4z-4,z^2=4x-4$