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Finding the Fourth Proportional to 97,039,231,881.90, 145,558,847,822.85 and 97,039,231,881.90

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Solution

The fourth proportional to 97,039,231,881.90, 145,558,847,822.85 and 97,039,231,881.90 is: 145,558,847,822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,039,231,881.90 : 145,558,847,822.85 = 97,039,231,881.90 : x
  2. Step 2: Convert to fraction form
    97,039,231,881.90/145,558,847,822.85 = 97,039,231,881.90/x
  3. Step 3: Cross multiply
    97,039,231,881.90x = 145,558,847,822.85 × 97,039,231,881.90
  4. Step 4: Simplify right side
    97,039,231,881.90x = 14,124,918,786,343,735,132,160
  5. Step 5: Solve for x
    x = 14,124,918,786,343,735,132,160/97,039,231,881.90
  6. Step 6: Final answer
    x = 145,558,847,822.85

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