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Finding the Fourth Proportional to 543,034,287,129.93, 814,551,430,694.90 and 543,034,287,129.93

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Solution

The fourth proportional to 543,034,287,129.93, 814,551,430,694.90 and 543,034,287,129.93 is: 814,551,430,694.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,034,287,129.93 : 814,551,430,694.90 = 543,034,287,129.93 : x
  2. Step 2: Convert to fraction form
    543,034,287,129.93/814,551,430,694.90 = 543,034,287,129.93/x
  3. Step 3: Cross multiply
    543,034,287,129.93x = 814,551,430,694.90 × 543,034,287,129.93
  4. Step 4: Simplify right side
    543,034,287,129.93x = 442,329,355,498,069,589,753,856
  5. Step 5: Solve for x
    x = 442,329,355,498,069,589,753,856/543,034,287,129.93
  6. Step 6: Final answer
    x = 814,551,430,694.90

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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.