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Finding the Fourth Proportional to 24,446,366,998.65, 36,669,550,497.98 and 24,446,366,998.65

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Solution

The fourth proportional to 24,446,366,998.65, 36,669,550,497.98 and 24,446,366,998.65 is: 36,669,550,497.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,446,366,998.65 : 36,669,550,497.98 = 24,446,366,998.65 : x
  2. Step 2: Convert to fraction form
    24,446,366,998.65/36,669,550,497.98 = 24,446,366,998.65/x
  3. Step 3: Cross multiply
    24,446,366,998.65x = 36,669,550,497.98 × 24,446,366,998.65
  4. Step 4: Simplify right side
    24,446,366,998.65x = 896,437,289,149,025,746,944
  5. Step 5: Solve for x
    x = 896,437,289,149,025,746,944/24,446,366,998.65
  6. Step 6: Final answer
    x = 36,669,550,497.98

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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.