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Finding the Fourth Proportional to 290,149,009.20, 435,223,513.80 and 252,357,649.20

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Solution

The fourth proportional to 290,149,009.20, 435,223,513.80 and 252,357,649.20 is: 378,536,473.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,149,009.20 : 435,223,513.80 = 252,357,649.20 : x
  2. Step 2: Convert to fraction form
    290,149,009.20/435,223,513.80 = 252,357,649.20/x
  3. Step 3: Cross multiply
    290,149,009.20x = 435,223,513.80 × 252,357,649.20
  4. Step 4: Simplify right side
    290,149,009.20x = 109,831,982,819,131,760
  5. Step 5: Solve for x
    x = 109,831,982,819,131,760/290,149,009.20
  6. Step 6: Final answer
    x = 378,536,473.80

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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.