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Finding the Fourth Proportional to 298,512,242.06, 411,941,294.43 and 166,350,327.26

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Solution

The fourth proportional to 298,512,242.06, 411,941,294.43 and 166,350,327.26 is: 229,560,331.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,512,242.06 : 411,941,294.43 = 166,350,327.26 : x
  2. Step 2: Convert to fraction form
    298,512,242.06/411,941,294.43 = 166,350,327.26/x
  3. Step 3: Cross multiply
    298,512,242.06x = 411,941,294.43 × 166,350,327.26
  4. Step 4: Simplify right side
    298,512,242.06x = 68,526,569,140,338,512
  5. Step 5: Solve for x
    x = 68,526,569,140,338,512/298,512,242.06
  6. Step 6: Final answer
    x = 229,560,331.15

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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.