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Finding the Fourth Proportional to 488,017,353.80, 732,026,030.70 and 164,896,560.20

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Solution

The fourth proportional to 488,017,353.80, 732,026,030.70 and 164,896,560.20 is: 247,344,840.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,017,353.80 : 732,026,030.70 = 164,896,560.20 : x
  2. Step 2: Convert to fraction form
    488,017,353.80/732,026,030.70 = 164,896,560.20/x
  3. Step 3: Cross multiply
    488,017,353.80x = 732,026,030.70 × 164,896,560.20
  4. Step 4: Simplify right side
    488,017,353.80x = 120,708,574,439,289,600
  5. Step 5: Solve for x
    x = 120,708,574,439,289,600/488,017,353.80
  6. Step 6: Final answer
    x = 247,344,840.30

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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.