Find the value of the number LaTeX: aa such that the families of curves LaTeX: y=\left(x+c\right)^{-1}y = ( x + c ) − 1and LaTeX: y\:=\:a\left(x\:+\:k\right)^{\frac{1}{3}}y = a ( x + k ) 1 3 are orthogonal trajectories.

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