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Finding the Fourth Proportional to 342,145,672.20, 513,218,508.30 and 342,145,672.20

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Solution

The fourth proportional to 342,145,672.20, 513,218,508.30 and 342,145,672.20 is: 513,218,508.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,145,672.20 : 513,218,508.30 = 342,145,672.20 : x
  2. Step 2: Convert to fraction form
    342,145,672.20/513,218,508.30 = 342,145,672.20/x
  3. Step 3: Cross multiply
    342,145,672.20x = 513,218,508.30 × 342,145,672.20
  4. Step 4: Simplify right side
    342,145,672.20x = 175,595,491,507,784,768
  5. Step 5: Solve for x
    x = 175,595,491,507,784,768/342,145,672.20
  6. Step 6: Final answer
    x = 513,218,508.30

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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.