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Finding the Fourth Proportional to 465,718,171.70, 698,577,257.55 and 396,471,409.40

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Solution

The fourth proportional to 465,718,171.70, 698,577,257.55 and 396,471,409.40 is: 594,707,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,718,171.70 : 698,577,257.55 = 396,471,409.40 : x
  2. Step 2: Convert to fraction form
    465,718,171.70/698,577,257.55 = 396,471,409.40/x
  3. Step 3: Cross multiply
    465,718,171.70x = 698,577,257.55 × 396,471,409.40
  4. Step 4: Simplify right side
    465,718,171.70x = 276,965,909,875,635,264
  5. Step 5: Solve for x
    x = 276,965,909,875,635,264/465,718,171.70
  6. Step 6: Final answer
    x = 594,707,114.10

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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.