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Finding the Fourth Proportional to 24,446,367,647.20, 36,669,551,470.80 and 24,446,367,647.20

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Solution

The fourth proportional to 24,446,367,647.20, 36,669,551,470.80 and 24,446,367,647.20 is: 36,669,551,470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,446,367,647.20 : 36,669,551,470.80 = 24,446,367,647.20 : x
  2. Step 2: Convert to fraction form
    24,446,367,647.20/36,669,551,470.80 = 24,446,367,647.20/x
  3. Step 3: Cross multiply
    24,446,367,647.20x = 36,669,551,470.80 × 24,446,367,647.20
  4. Step 4: Simplify right side
    24,446,367,647.20x = 896,437,336,713,100,394,496
  5. Step 5: Solve for x
    x = 896,437,336,713,100,394,496/24,446,367,647.20
  6. Step 6: Final answer
    x = 36,669,551,470.80

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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.