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Finding the Fourth Proportional to 580,493,778.20, 814,987,114.60 and 580,493,778.20

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Solution

The fourth proportional to 580,493,778.20, 814,987,114.60 and 580,493,778.20 is: 814,987,114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,493,778.20 : 814,987,114.60 = 580,493,778.20 : x
  2. Step 2: Convert to fraction form
    580,493,778.20/814,987,114.60 = 580,493,778.20/x
  3. Step 3: Cross multiply
    580,493,778.20x = 814,987,114.60 × 580,493,778.20
  4. Step 4: Simplify right side
    580,493,778.20x = 473,094,949,338,470,464
  5. Step 5: Solve for x
    x = 473,094,949,338,470,464/580,493,778.20
  6. Step 6: Final answer
    x = 814,987,114.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.