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Finding the Fourth Proportional to 663,757,005.20, 927,109,898.80 and 663,757,005.20

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Solution

The fourth proportional to 663,757,005.20, 927,109,898.80 and 663,757,005.20 is: 927,109,898.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,757,005.20 : 927,109,898.80 = 663,757,005.20 : x
  2. Step 2: Convert to fraction form
    663,757,005.20/927,109,898.80 = 663,757,005.20/x
  3. Step 3: Cross multiply
    663,757,005.20x = 927,109,898.80 × 663,757,005.20
  4. Step 4: Simplify right side
    663,757,005.20x = 615,375,689,918,763,136
  5. Step 5: Solve for x
    x = 615,375,689,918,763,136/663,757,005.20
  6. Step 6: Final answer
    x = 927,109,898.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.