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Finding the Fourth Proportional to 524,649,688.97, 723,755,064.92 and 312,807,114.95

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Solution

The fourth proportional to 524,649,688.97, 723,755,064.92 and 312,807,114.95 is: 431,517,903.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,649,688.97 : 723,755,064.92 = 312,807,114.95 : x
  2. Step 2: Convert to fraction form
    524,649,688.97/723,755,064.92 = 312,807,114.95/x
  3. Step 3: Cross multiply
    524,649,688.97x = 723,755,064.92 × 312,807,114.95
  4. Step 4: Simplify right side
    524,649,688.97x = 226,395,733,782,892,320
  5. Step 5: Solve for x
    x = 226,395,733,782,892,320/524,649,688.97
  6. Step 6: Final answer
    x = 431,517,903.36

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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.