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Finding the Fourth Proportional to 410,463,498.96, 566,432,627.40 and 222,290,264.34

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Solution

The fourth proportional to 410,463,498.96, 566,432,627.40 and 222,290,264.34 is: 306,756,773.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,463,498.96 : 566,432,627.40 = 222,290,264.34 : x
  2. Step 2: Convert to fraction form
    410,463,498.96/566,432,627.40 = 222,290,264.34/x
  3. Step 3: Cross multiply
    410,463,498.96x = 566,432,627.40 × 222,290,264.34
  4. Step 4: Simplify right side
    410,463,498.96x = 125,912,458,475,546,720
  5. Step 5: Solve for x
    x = 125,912,458,475,546,720/410,463,498.96
  6. Step 6: Final answer
    x = 306,756,773.24

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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.