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Finding the Fourth Proportional to 4,027,882,297.55, 6,041,823,446.33 and 4,027,882,297.55

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Solution

The fourth proportional to 4,027,882,297.55, 6,041,823,446.33 and 4,027,882,297.55 is: 6,041,823,446.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,027,882,297.55 : 6,041,823,446.33 = 4,027,882,297.55 : x
  2. Step 2: Convert to fraction form
    4,027,882,297.55/6,041,823,446.33 = 4,027,882,297.55/x
  3. Step 3: Cross multiply
    4,027,882,297.55x = 6,041,823,446.33 × 4,027,882,297.55
  4. Step 4: Simplify right side
    4,027,882,297.55x = 24,335,753,704,375,001,088
  5. Step 5: Solve for x
    x = 24,335,753,704,375,001,088/4,027,882,297.55
  6. Step 6: Final answer
    x = 6,041,823,446.33

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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.