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Finding the Fourth Proportional to 506,494,689.33, 698,984,516.40 and 280,433,671.77

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Solution

The fourth proportional to 506,494,689.33, 698,984,516.40 and 280,433,671.77 is: 387,010,562.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,494,689.33 : 698,984,516.40 = 280,433,671.77 : x
  2. Step 2: Convert to fraction form
    506,494,689.33/698,984,516.40 = 280,433,671.77/x
  3. Step 3: Cross multiply
    506,494,689.33x = 698,984,516.40 × 280,433,671.77
  4. Step 4: Simplify right side
    506,494,689.33x = 196,018,794,444,429,760
  5. Step 5: Solve for x
    x = 196,018,794,444,429,760/506,494,689.33
  6. Step 6: Final answer
    x = 387,010,562.15

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