Question 953028
ab=1 bc=2 cd=3 de=4 ea=6
{{{ab=1}}}; {{{b=1/a}}}
{{{bc=2}}}; {{{c=2/b}}}={{{2a}}}
{{{cd=3}}}; {{{d=3/c}}}={{{3/2a}}}
{{{de=4}}}; {{{e=4/d}}}={{{4*2a/3}}}={{{8a/3}}}
{{{ea=6}}} {{{(8a/3)*a=6}}}
{{{(8/3)a^2=6}}} Multiply each side by{{{3/8}}}
{{{a^2=18/8}}}
{{{a^2=9/4}}} Find the square root of each side.
a={{{3/2}}} OR {{{a=-3/2}}} ANSWER 1
b={{{1/(3/2)}}}={{{2/3}}} OR {{{b=1/(-3/2)}}}={{{-2/3}}} ANSWER 2 
c={{{2(3/2)}}}={{{3}}} OR  {{{c=2(-3/2)}}}={{{-3}}} ANSWER 3
d={{{(3/2)(2/3)}}}={{{1}}} OR {{{d=(3/2)(-2/3)}}}={{{-1}}} ANSWER 4
e={{{8a/3}}}={{{(8/3)(3/2)=4}}} OR {{{(8/3)(-3/2)=-4}}} ANSWER 5
You can check by multiplying all the pairs.