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Finding the Fourth Proportional to 488,016,843.80, 732,025,265.70 and 164,896,050.20

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Solution

The fourth proportional to 488,016,843.80, 732,025,265.70 and 164,896,050.20 is: 247,344,075.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,016,843.80 : 732,025,265.70 = 164,896,050.20 : x
  2. Step 2: Convert to fraction form
    488,016,843.80/732,025,265.70 = 164,896,050.20/x
  3. Step 3: Cross multiply
    488,016,843.80x = 732,025,265.70 × 164,896,050.20
  4. Step 4: Simplify right side
    488,016,843.80x = 120,708,074,960,535,536
  5. Step 5: Solve for x
    x = 120,708,074,960,535,536/488,016,843.80
  6. Step 6: Final answer
    x = 247,344,075.30

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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.