If  
1
2
 : 
1
x
  =  
1
x
 : 
1
8
 , then what is the value of x?


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Answer:

4

Step by Step Explanation:
  1. We have
     
    1
    2
     : 
    1
    x
      =  
    1
    x
     : 
    1
    8
     
    ⇒  
     
    1
    2
     
     
    1
    x
     
      =  
     
    1
    x
     
     
    1
    8
     
     

    Cross multiplying both the sides, we have
     
    1
    x2
      =  
    1
    16
     
    ⇒  
    1
    x
      =  
    1
    4
     
    ⇒ x = 4

    Thus, the value of x is 4.

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