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Finding the Fourth Proportional to 20,229,742.70, 30,344,614.05 and 20,229,742.70

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Solution

The fourth proportional to 20,229,742.70, 30,344,614.05 and 20,229,742.70 is: 30,344,614.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,229,742.70 : 30,344,614.05 = 20,229,742.70 : x
  2. Step 2: Convert to fraction form
    20,229,742.70/30,344,614.05 = 20,229,742.70/x
  3. Step 3: Cross multiply
    20,229,742.70x = 30,344,614.05 × 20,229,742.70
  4. Step 4: Simplify right side
    20,229,742.70x = 613,863,734,562,304.88
  5. Step 5: Solve for x
    x = 613,863,734,562,304.88/20,229,742.70
  6. Step 6: Final answer
    x = 30,344,614.05

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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.