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Finding the Fourth Proportional to 75,082,625, 103,614,022.50 and 40,743,809

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Solution

The fourth proportional to 75,082,625, 103,614,022.50 and 40,743,809 is: 56,226,456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,082,625 : 103,614,022.50 = 40,743,809 : x
  2. Step 2: Convert to fraction form
    75,082,625/103,614,022.50 = 40,743,809/x
  3. Step 3: Cross multiply
    75,082,625x = 103,614,022.50 × 40,743,809
  4. Step 4: Simplify right side
    75,082,625x = 4,221,629,942,461,702.50
  5. Step 5: Solve for x
    x = 4,221,629,942,461,702.50/75,082,625
  6. Step 6: Final answer
    x = 56,226,456.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.