The positive integers \(x_{1}\ldots,x_{7}\) satisfy the condition
\( x_{6}=144\) and \[ x_{n+3}=x_{n+2}(x_{n+1}+x_{n})\] where \( n = 1,2,3,4\)
Then what is the value of \(x_{7}\)

Source: Poland Mathematical Olympiad in 1997.

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