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Finding the Fourth Proportional to 465,718,562.70, 698,577,844.05 and 396,471,800.40

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Solution

The fourth proportional to 465,718,562.70, 698,577,844.05 and 396,471,800.40 is: 594,707,700.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,718,562.70 : 698,577,844.05 = 396,471,800.40 : x
  2. Step 2: Convert to fraction form
    465,718,562.70/698,577,844.05 = 396,471,800.40/x
  3. Step 3: Cross multiply
    465,718,562.70x = 698,577,844.05 × 396,471,800.40
  4. Step 4: Simplify right side
    465,718,562.70x = 276,966,415,550,053,888
  5. Step 5: Solve for x
    x = 276,966,415,550,053,888/465,718,562.70
  6. Step 6: Final answer
    x = 594,707,700.60

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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.