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Finding the Fourth Proportional to 523,198,187,366.60, 784,797,281,049.90 and 523,198,187,366.60

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Solution

The fourth proportional to 523,198,187,366.60, 784,797,281,049.90 and 523,198,187,366.60 is: 784,797,281,049.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,198,187,366.60 : 784,797,281,049.90 = 523,198,187,366.60 : x
  2. Step 2: Convert to fraction form
    523,198,187,366.60/784,797,281,049.90 = 523,198,187,366.60/x
  3. Step 3: Cross multiply
    523,198,187,366.60x = 784,797,281,049.90 × 523,198,187,366.60
  4. Step 4: Simplify right side
    523,198,187,366.60x = 410,604,514,895,543,786,274,816
  5. Step 5: Solve for x
    x = 410,604,514,895,543,786,274,816/523,198,187,366.60
  6. Step 6: Final answer
    x = 784,797,281,049.90

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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.