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Finding the Fourth Proportional to 488,690,162.40, 733,035,243.60 and 466,015,346.40

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Solution

The fourth proportional to 488,690,162.40, 733,035,243.60 and 466,015,346.40 is: 699,023,019.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,690,162.40 : 733,035,243.60 = 466,015,346.40 : x
  2. Step 2: Convert to fraction form
    488,690,162.40/733,035,243.60 = 466,015,346.40/x
  3. Step 3: Cross multiply
    488,690,162.40x = 733,035,243.60 × 466,015,346.40
  4. Step 4: Simplify right side
    488,690,162.40x = 341,605,672,969,662,400
  5. Step 5: Solve for x
    x = 341,605,672,969,662,400/488,690,162.40
  6. Step 6: Final answer
    x = 699,023,019.60

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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.