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Finding the Fourth Proportional to 436,608,049.20, 654,912,073.80 and 436,608,049.20

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Solution

The fourth proportional to 436,608,049.20, 654,912,073.80 and 436,608,049.20 is: 654,912,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,608,049.20 : 654,912,073.80 = 436,608,049.20 : x
  2. Step 2: Convert to fraction form
    436,608,049.20/654,912,073.80 = 436,608,049.20/x
  3. Step 3: Cross multiply
    436,608,049.20x = 654,912,073.80 × 436,608,049.20
  4. Step 4: Simplify right side
    436,608,049.20x = 285,939,882,939,344,416
  5. Step 5: Solve for x
    x = 285,939,882,939,344,416/436,608,049.20
  6. Step 6: Final answer
    x = 654,912,073.80

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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.