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Finding the Fourth Proportional to 974,312,007.90, 1,461,468,011.85 and 767,687,747.10

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Solution

The fourth proportional to 974,312,007.90, 1,461,468,011.85 and 767,687,747.10 is: 1,151,531,620.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,312,007.90 : 1,461,468,011.85 = 767,687,747.10 : x
  2. Step 2: Convert to fraction form
    974,312,007.90/1,461,468,011.85 = 767,687,747.10/x
  3. Step 3: Cross multiply
    974,312,007.90x = 1,461,468,011.85 × 767,687,747.10
  4. Step 4: Simplify right side
    974,312,007.90x = 1,121,951,085,475,842,560
  5. Step 5: Solve for x
    x = 1,121,951,085,475,842,560/974,312,007.90
  6. Step 6: Final answer
    x = 1,151,531,620.65

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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.