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Finding the Fourth Proportional to 728,941,546.08, 1,005,938,683.70 and 411,468,616.26

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Solution

The fourth proportional to 728,941,546.08, 1,005,938,683.70 and 411,468,616.26 is: 567,826,323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,941,546.08 : 1,005,938,683.70 = 411,468,616.26 : x
  2. Step 2: Convert to fraction form
    728,941,546.08/1,005,938,683.70 = 411,468,616.26/x
  3. Step 3: Cross multiply
    728,941,546.08x = 1,005,938,683.70 × 411,468,616.26
  4. Step 4: Simplify right side
    728,941,546.08x = 413,912,198,222,387,456
  5. Step 5: Solve for x
    x = 413,912,198,222,387,456/728,941,546.08
  6. Step 6: Final answer
    x = 567,826,323.59

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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.