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Finding the Fourth Proportional to 12,124,633,609.90, 18,186,950,414.85 and 12,124,633,609.90

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Solution

The fourth proportional to 12,124,633,609.90, 18,186,950,414.85 and 12,124,633,609.90 is: 18,186,950,414.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,124,633,609.90 : 18,186,950,414.85 = 12,124,633,609.90 : x
  2. Step 2: Convert to fraction form
    12,124,633,609.90/18,186,950,414.85 = 12,124,633,609.90/x
  3. Step 3: Cross multiply
    12,124,633,609.90x = 18,186,950,414.85 × 12,124,633,609.90
  4. Step 4: Simplify right side
    12,124,633,609.90x = 220,510,110,261,475,016,704
  5. Step 5: Solve for x
    x = 220,510,110,261,475,016,704/12,124,633,609.90
  6. Step 6: Final answer
    x = 18,186,950,414.85

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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.