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Finding the Fourth Proportional to 493,177,260,613.20, 739,765,890,919.80 and 493,177,260,613.20

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Solution

The fourth proportional to 493,177,260,613.20, 739,765,890,919.80 and 493,177,260,613.20 is: 739,765,890,919.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,177,260,613.20 : 739,765,890,919.80 = 493,177,260,613.20 : x
  2. Step 2: Convert to fraction form
    493,177,260,613.20/739,765,890,919.80 = 493,177,260,613.20/x
  3. Step 3: Cross multiply
    493,177,260,613.20x = 739,765,890,919.80 × 493,177,260,613.20
  4. Step 4: Simplify right side
    493,177,260,613.20x = 364,835,715,578,910,302,273,536
  5. Step 5: Solve for x
    x = 364,835,715,578,910,302,273,536/493,177,260,613.20
  6. Step 6: Final answer
    x = 739,765,890,919.80

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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.