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Finding the Fourth Proportional to 5,200,406.55, 7,786,613.02 and 5,200,406.55

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Solution

The fourth proportional to 5,200,406.55, 7,786,613.02 and 5,200,406.55 is: 7,786,613.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200,406.55 : 7,786,613.02 = 5,200,406.55 : x
  2. Step 2: Convert to fraction form
    5,200,406.55/7,786,613.02 = 5,200,406.55/x
  3. Step 3: Cross multiply
    5,200,406.55x = 7,786,613.02 × 5,200,406.55
  4. Step 4: Simplify right side
    5,200,406.55x = 40,493,553,351,523.27
  5. Step 5: Solve for x
    x = 40,493,553,351,523.27/5,200,406.55
  6. Step 6: Final answer
    x = 7,786,613.02

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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.