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Finding the Fourth Proportional to 564,306,385.43, 778,744,616.03 and 313,410,731.78

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Solution

The fourth proportional to 564,306,385.43, 778,744,616.03 and 313,410,731.78 is: 432,507,811.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,306,385.43 : 778,744,616.03 = 313,410,731.78 : x
  2. Step 2: Convert to fraction form
    564,306,385.43/778,744,616.03 = 313,410,731.78/x
  3. Step 3: Cross multiply
    564,306,385.43x = 778,744,616.03 × 313,410,731.78
  4. Step 4: Simplify right side
    564,306,385.43x = 244,066,919,974,236,608
  5. Step 5: Solve for x
    x = 244,066,919,974,236,608/564,306,385.43
  6. Step 6: Final answer
    x = 432,507,811.85

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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.