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Finding the Fourth Proportional to 24,446,386,870.20, 36,669,580,305.30 and 24,446,386,870.20

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Solution

The fourth proportional to 24,446,386,870.20, 36,669,580,305.30 and 24,446,386,870.20 is: 36,669,580,305.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,446,386,870.20 : 36,669,580,305.30 = 24,446,386,870.20 : x
  2. Step 2: Convert to fraction form
    24,446,386,870.20/36,669,580,305.30 = 24,446,386,870.20/x
  3. Step 3: Cross multiply
    24,446,386,870.20x = 36,669,580,305.30 × 24,446,386,870.20
  4. Step 4: Simplify right side
    24,446,386,870.20x = 896,438,746,511,230,500,864
  5. Step 5: Solve for x
    x = 896,438,746,511,230,500,864/24,446,386,870.20
  6. Step 6: Final answer
    x = 36,669,580,305.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.