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Finding the Fourth Proportional to 117,881,569,697.30, 176,822,354,545.95 and 117,881,569,697.30

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Solution

The fourth proportional to 117,881,569,697.30, 176,822,354,545.95 and 117,881,569,697.30 is: 176,822,354,545.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,881,569,697.30 : 176,822,354,545.95 = 117,881,569,697.30 : x
  2. Step 2: Convert to fraction form
    117,881,569,697.30/176,822,354,545.95 = 117,881,569,697.30/x
  3. Step 3: Cross multiply
    117,881,569,697.30x = 176,822,354,545.95 × 117,881,569,697.30
  4. Step 4: Simplify right side
    117,881,569,697.30x = 20,844,096,711,449,099,894,784
  5. Step 5: Solve for x
    x = 20,844,096,711,449,099,894,784/117,881,569,697.30
  6. Step 6: Final answer
    x = 176,822,354,545.95

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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.