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Finding the Fourth Proportional to 548,051,344.20, 822,077,016.30 and 548,051,344.20

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Solution

The fourth proportional to 548,051,344.20, 822,077,016.30 and 548,051,344.20 is: 822,077,016.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,051,344.20 : 822,077,016.30 = 548,051,344.20 : x
  2. Step 2: Convert to fraction form
    548,051,344.20/822,077,016.30 = 548,051,344.20/x
  3. Step 3: Cross multiply
    548,051,344.20x = 822,077,016.30 × 548,051,344.20
  4. Step 4: Simplify right side
    548,051,344.20x = 450,540,413,819,140,352
  5. Step 5: Solve for x
    x = 450,540,413,819,140,352/548,051,344.20
  6. Step 6: Final answer
    x = 822,077,016.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.