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Finding the Fourth Proportional to 524,649,687.72, 723,755,063.19 and 312,807,113.70

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Solution

The fourth proportional to 524,649,687.72, 723,755,063.19 and 312,807,113.70 is: 431,517,901.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,649,687.72 : 723,755,063.19 = 312,807,113.70 : x
  2. Step 2: Convert to fraction form
    524,649,687.72/723,755,063.19 = 312,807,113.70/x
  3. Step 3: Cross multiply
    524,649,687.72x = 723,755,063.19 × 312,807,113.70
  4. Step 4: Simplify right side
    524,649,687.72x = 226,395,732,342,225,024
  5. Step 5: Solve for x
    x = 226,395,732,342,225,024/524,649,687.72
  6. Step 6: Final answer
    x = 431,517,901.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.