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Finding the Fourth Proportional to 497,908,270.70, 746,862,406.05 and 448,590,545.90

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Solution

The fourth proportional to 497,908,270.70, 746,862,406.05 and 448,590,545.90 is: 672,885,818.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,908,270.70 : 746,862,406.05 = 448,590,545.90 : x
  2. Step 2: Convert to fraction form
    497,908,270.70/746,862,406.05 = 448,590,545.90/x
  3. Step 3: Cross multiply
    497,908,270.70x = 746,862,406.05 × 448,590,545.90
  4. Step 4: Simplify right side
    497,908,270.70x = 335,035,414,442,156,928
  5. Step 5: Solve for x
    x = 335,035,414,442,156,928/497,908,270.70
  6. Step 6: Final answer
    x = 672,885,818.85

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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.