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Three distinct A.P. s' have same first t...

Three distinct A.P. s' have same first term common differences as `d_(1) ,d_(2) ,d_(3)` and `n^(th)` terms as `a_(n) , b_(n) ,c_(n)` respectively such that `(a_(1))/(d_(1))=(2b_(1))/(d_(2))=(3c_(1))/(d_(3)).` If `(a_(7))/(c_(6))=(3)/(7)` then find the value of `(b_(7))/(c_(6))` .

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