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Finding the Fourth Proportional to 505,522,023.20, 758,283,034.80 and 505,522,023.20

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Solution

The fourth proportional to 505,522,023.20, 758,283,034.80 and 505,522,023.20 is: 758,283,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,522,023.20 : 758,283,034.80 = 505,522,023.20 : x
  2. Step 2: Convert to fraction form
    505,522,023.20/758,283,034.80 = 505,522,023.20/x
  3. Step 3: Cross multiply
    505,522,023.20x = 758,283,034.80 × 505,522,023.20
  4. Step 4: Simplify right side
    505,522,023.20x = 383,328,773,910,331,968
  5. Step 5: Solve for x
    x = 383,328,773,910,331,968/505,522,023.20
  6. Step 6: Final answer
    x = 758,283,034.80

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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.