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Finding the Fourth Proportional to 395,612,139.40, 593,418,209.10 and 202,120,376.20

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Solution

The fourth proportional to 395,612,139.40, 593,418,209.10 and 202,120,376.20 is: 303,180,564.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,612,139.40 : 593,418,209.10 = 202,120,376.20 : x
  2. Step 2: Convert to fraction form
    395,612,139.40/593,418,209.10 = 202,120,376.20/x
  3. Step 3: Cross multiply
    395,612,139.40x = 593,418,209.10 × 202,120,376.20
  4. Step 4: Simplify right side
    395,612,139.40x = 119,941,911,667,222,256
  5. Step 5: Solve for x
    x = 119,941,911,667,222,256/395,612,139.40
  6. Step 6: Final answer
    x = 303,180,564.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.