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Finding the Fourth Proportional to 534,367,454.40, 800,275,723.20 and 534,367,454.40

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Solution

The fourth proportional to 534,367,454.40, 800,275,723.20 and 534,367,454.40 is: 800,275,723.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,367,454.40 : 800,275,723.20 = 534,367,454.40 : x
  2. Step 2: Convert to fraction form
    534,367,454.40/800,275,723.20 = 534,367,454.40/x
  3. Step 3: Cross multiply
    534,367,454.40x = 800,275,723.20 × 534,367,454.40
  4. Step 4: Simplify right side
    534,367,454.40x = 427,641,301,024,503,040
  5. Step 5: Solve for x
    x = 427,641,301,024,503,040/534,367,454.40
  6. Step 6: Final answer
    x = 800,275,723.20

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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.