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Finding the Fourth Proportional to 106,598,822.60, 159,898,233.90 and 106,598,822.60

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Solution

The fourth proportional to 106,598,822.60, 159,898,233.90 and 106,598,822.60 is: 159,898,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,598,822.60 : 159,898,233.90 = 106,598,822.60 : x
  2. Step 2: Convert to fraction form
    106,598,822.60/159,898,233.90 = 106,598,822.60/x
  3. Step 3: Cross multiply
    106,598,822.60x = 159,898,233.90 × 106,598,822.60
  4. Step 4: Simplify right side
    106,598,822.60x = 17,044,963,469,559,406
  5. Step 5: Solve for x
    x = 17,044,963,469,559,406/106,598,822.60
  6. Step 6: Final answer
    x = 159,898,233.90

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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.