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Finding the Fourth Proportional to 488,544,961.80, 732,923,730.90 and 160,964,729.40

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Solution

The fourth proportional to 488,544,961.80, 732,923,730.90 and 160,964,729.40 is: 241,482,113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,544,961.80 : 732,923,730.90 = 160,964,729.40 : x
  2. Step 2: Convert to fraction form
    488,544,961.80/732,923,730.90 = 160,964,729.40/x
  3. Step 3: Cross multiply
    488,544,961.80x = 732,923,730.90 × 160,964,729.40
  4. Step 4: Simplify right side
    488,544,961.80x = 117,974,870,015,156,912
  5. Step 5: Solve for x
    x = 117,974,870,015,156,912/488,544,961.80
  6. Step 6: Final answer
    x = 241,482,113.70

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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.