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Finding the Fourth Proportional to 107,706,059,812.40, 161,559,089,718.60 and 107,706,059,812.40

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Solution

The fourth proportional to 107,706,059,812.40, 161,559,089,718.60 and 107,706,059,812.40 is: 161,559,089,718.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,706,059,812.40 : 161,559,089,718.60 = 107,706,059,812.40 : x
  2. Step 2: Convert to fraction form
    107,706,059,812.40/161,559,089,718.60 = 107,706,059,812.40/x
  3. Step 3: Cross multiply
    107,706,059,812.40x = 161,559,089,718.60 × 107,706,059,812.40
  4. Step 4: Simplify right side
    107,706,059,812.40x = 17,400,892,980,468,429,881,344
  5. Step 5: Solve for x
    x = 17,400,892,980,468,429,881,344/107,706,059,812.40
  6. Step 6: Final answer
    x = 161,559,089,718.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.