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Finding the Fourth Proportional to 436,595,251,013.45, 654,892,876,520.20 and 436,595,251,013.45

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Solution

The fourth proportional to 436,595,251,013.45, 654,892,876,520.20 and 436,595,251,013.45 is: 654,892,876,520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,595,251,013.45 : 654,892,876,520.20 = 436,595,251,013.45 : x
  2. Step 2: Convert to fraction form
    436,595,251,013.45/654,892,876,520.20 = 436,595,251,013.45/x
  3. Step 3: Cross multiply
    436,595,251,013.45x = 654,892,876,520.20 × 436,595,251,013.45
  4. Step 4: Simplify right side
    436,595,251,013.45x = 285,923,119,811,257,012,584,448
  5. Step 5: Solve for x
    x = 285,923,119,811,257,012,584,448/436,595,251,013.45
  6. Step 6: Final answer
    x = 654,892,876,520.20

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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.