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Finding the Fourth Proportional to 298,643,733.20, 412,128,265.80 and 161,288,469.20

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Solution

The fourth proportional to 298,643,733.20, 412,128,265.80 and 161,288,469.20 is: 222,578,041.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,643,733.20 : 412,128,265.80 = 161,288,469.20 : x
  2. Step 2: Convert to fraction form
    298,643,733.20/412,128,265.80 = 161,288,469.20/x
  3. Step 3: Cross multiply
    298,643,733.20x = 412,128,265.80 × 161,288,469.20
  4. Step 4: Simplify right side
    298,643,733.20x = 66,471,537,104,932,712
  5. Step 5: Solve for x
    x = 66,471,537,104,932,712/298,643,733.20
  6. Step 6: Final answer
    x = 222,578,041.04

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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.