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Finding the Fourth Proportional to 521,522,872,712.20, 782,284,309,068.30 and 521,522,872,712.20

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Solution

The fourth proportional to 521,522,872,712.20, 782,284,309,068.30 and 521,522,872,712.20 is: 782,284,309,068.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,522,872,712.20 : 782,284,309,068.30 = 521,522,872,712.20 : x
  2. Step 2: Convert to fraction form
    521,522,872,712.20/782,284,309,068.30 = 521,522,872,712.20/x
  3. Step 3: Cross multiply
    521,522,872,712.20x = 782,284,309,068.30 × 521,522,872,712.20
  4. Step 4: Simplify right side
    521,522,872,712.20x = 407,979,160,142,978,389,901,312
  5. Step 5: Solve for x
    x = 407,979,160,142,978,389,901,312/521,522,872,712.20
  6. Step 6: Final answer
    x = 782,284,309,068.30

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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.