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Finding the Fourth Proportional to 488,016,856.80, 732,025,285.20 and 164,896,063.20

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Solution

The fourth proportional to 488,016,856.80, 732,025,285.20 and 164,896,063.20 is: 247,344,094.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,016,856.80 : 732,025,285.20 = 164,896,063.20 : x
  2. Step 2: Convert to fraction form
    488,016,856.80/732,025,285.20 = 164,896,063.20/x
  3. Step 3: Cross multiply
    488,016,856.80x = 732,025,285.20 × 164,896,063.20
  4. Step 4: Simplify right side
    488,016,856.80x = 120,708,087,692,337,216
  5. Step 5: Solve for x
    x = 120,708,087,692,337,216/488,016,856.80
  6. Step 6: Final answer
    x = 247,344,094.80

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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.