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Finding the Fourth Proportional to 759,741,920.20, 1,048,476,616.82 and 420,650,392.98

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Solution

The fourth proportional to 759,741,920.20, 1,048,476,616.82 and 420,650,392.98 is: 580,515,684.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,741,920.20 : 1,048,476,616.82 = 420,650,392.98 : x
  2. Step 2: Convert to fraction form
    759,741,920.20/1,048,476,616.82 = 420,650,392.98/x
  3. Step 3: Cross multiply
    759,741,920.20x = 1,048,476,616.82 × 420,650,392.98
  4. Step 4: Simplify right side
    759,741,920.20x = 441,042,100,895,673,920
  5. Step 5: Solve for x
    x = 441,042,100,895,673,920/759,741,920.20
  6. Step 6: Final answer
    x = 580,515,684.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.