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Finding the Fourth Proportional to 148,734,165.20, 208,397,892.40 and 148,734,165.20

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Solution

The fourth proportional to 148,734,165.20, 208,397,892.40 and 148,734,165.20 is: 208,397,892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,734,165.20 : 208,397,892.40 = 148,734,165.20 : x
  2. Step 2: Convert to fraction form
    148,734,165.20/208,397,892.40 = 148,734,165.20/x
  3. Step 3: Cross multiply
    148,734,165.20x = 208,397,892.40 × 148,734,165.20
  4. Step 4: Simplify right side
    148,734,165.20x = 30,995,886,555,553,424
  5. Step 5: Solve for x
    x = 30,995,886,555,553,424/148,734,165.20
  6. Step 6: Final answer
    x = 208,397,892.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.