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Finding the Fourth Proportional to 24,446,367,005.10, 36,669,550,507.65 and 24,446,367,005.10

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Solution

The fourth proportional to 24,446,367,005.10, 36,669,550,507.65 and 24,446,367,005.10 is: 36,669,550,507.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,446,367,005.10 : 36,669,550,507.65 = 24,446,367,005.10 : x
  2. Step 2: Convert to fraction form
    24,446,367,005.10/36,669,550,507.65 = 24,446,367,005.10/x
  3. Step 3: Cross multiply
    24,446,367,005.10x = 36,669,550,507.65 × 24,446,367,005.10
  4. Step 4: Simplify right side
    24,446,367,005.10x = 896,437,289,622,062,891,008
  5. Step 5: Solve for x
    x = 896,437,289,622,062,891,008/24,446,367,005.10
  6. Step 6: Final answer
    x = 36,669,550,507.65

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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.