Răspuns:
s/(1/2)=u/(1/3)=v/(1/6)=k
s=k/2
u=k/3
v=k/6
⁶⁾k/2+⁴⁾k/3+²⁾k/6=¹²⁾90
6k+4k+2k=1080=>k=1080:12=>k=90
s=90/2=45
u=90/3=30
v=90/6=15
____________
a·b·c=1
a/(1/4)=b/(1/16)=c/(1/27)
a=k/4
b=k/16
c=k/27
k/4·k/16·k/27=1=>k³/1728=1=>k³/12³=1=>k=12
a=12/4=3
b=12/16=3/4
c=12/27=4/9