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Finding the Fourth Proportional to 517,967,342.80, 776,951,014.20 and 494,079,470.80

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Solution

The fourth proportional to 517,967,342.80, 776,951,014.20 and 494,079,470.80 is: 741,119,206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,967,342.80 : 776,951,014.20 = 494,079,470.80 : x
  2. Step 2: Convert to fraction form
    517,967,342.80/776,951,014.20 = 494,079,470.80/x
  3. Step 3: Cross multiply
    517,967,342.80x = 776,951,014.20 × 494,079,470.80
  4. Step 4: Simplify right side
    517,967,342.80x = 383,875,545,933,459,328
  5. Step 5: Solve for x
    x = 383,875,545,933,459,328/517,967,342.80
  6. Step 6: Final answer
    x = 741,119,206.20

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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.