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Finding the Fourth Proportional to 112,004,428,737.20, 168,006,643,105.80 and 112,004,428,737.20

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Solution

The fourth proportional to 112,004,428,737.20, 168,006,643,105.80 and 112,004,428,737.20 is: 168,006,643,105.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,004,428,737.20 : 168,006,643,105.80 = 112,004,428,737.20 : x
  2. Step 2: Convert to fraction form
    112,004,428,737.20/168,006,643,105.80 = 112,004,428,737.20/x
  3. Step 3: Cross multiply
    112,004,428,737.20x = 168,006,643,105.80 × 112,004,428,737.20
  4. Step 4: Simplify right side
    112,004,428,737.20x = 18,817,488,085,119,766,888,448
  5. Step 5: Solve for x
    x = 18,817,488,085,119,766,888,448/112,004,428,737.20
  6. Step 6: Final answer
    x = 168,006,643,105.80

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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.