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Finding the Fourth Proportional to 483,078,668.40, 724,618,002.60 and 408,251,775.60

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Solution

The fourth proportional to 483,078,668.40, 724,618,002.60 and 408,251,775.60 is: 612,377,663.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,078,668.40 : 724,618,002.60 = 408,251,775.60 : x
  2. Step 2: Convert to fraction form
    483,078,668.40/724,618,002.60 = 408,251,775.60/x
  3. Step 3: Cross multiply
    483,078,668.40x = 724,618,002.60 × 408,251,775.60
  4. Step 4: Simplify right side
    483,078,668.40x = 295,826,586,193,175,424
  5. Step 5: Solve for x
    x = 295,826,586,193,175,424/483,078,668.40
  6. Step 6: Final answer
    x = 612,377,663.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.