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Finding the Fourth Proportional to 102,151,497,802.95, 153,227,246,704.42 and 102,151,497,802.95

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Solution

The fourth proportional to 102,151,497,802.95, 153,227,246,704.42 and 102,151,497,802.95 is: 153,227,246,704.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,151,497,802.95 : 153,227,246,704.42 = 102,151,497,802.95 : x
  2. Step 2: Convert to fraction form
    102,151,497,802.95/153,227,246,704.42 = 102,151,497,802.95/x
  3. Step 3: Cross multiply
    102,151,497,802.95x = 153,227,246,704.42 × 102,151,497,802.95
  4. Step 4: Simplify right side
    102,151,497,802.95x = 15,652,392,755,078,637,813,760
  5. Step 5: Solve for x
    x = 15,652,392,755,078,637,813,760/102,151,497,802.95
  6. Step 6: Final answer
    x = 153,227,246,704.42

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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.