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Finding the Fourth Proportional to 521,522,866,493.20, 782,284,299,739.80 and 521,522,866,493.20

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Solution

The fourth proportional to 521,522,866,493.20, 782,284,299,739.80 and 521,522,866,493.20 is: 782,284,299,739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,522,866,493.20 : 782,284,299,739.80 = 521,522,866,493.20 : x
  2. Step 2: Convert to fraction form
    521,522,866,493.20/782,284,299,739.80 = 521,522,866,493.20/x
  3. Step 3: Cross multiply
    521,522,866,493.20x = 782,284,299,739.80 × 521,522,866,493.20
  4. Step 4: Simplify right side
    521,522,866,493.20x = 407,979,150,412,926,207,131,648
  5. Step 5: Solve for x
    x = 407,979,150,412,926,207,131,648/521,522,866,493.20
  6. Step 6: Final answer
    x = 782,284,299,739.80

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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.