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Finding the Fourth Proportional to 202,143,757.60, 303,215,636.40 and 180,602,682.40

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Solution

The fourth proportional to 202,143,757.60, 303,215,636.40 and 180,602,682.40 is: 270,904,023.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,143,757.60 : 303,215,636.40 = 180,602,682.40 : x
  2. Step 2: Convert to fraction form
    202,143,757.60/303,215,636.40 = 180,602,682.40/x
  3. Step 3: Cross multiply
    202,143,757.60x = 303,215,636.40 × 180,602,682.40
  4. Step 4: Simplify right side
    202,143,757.60x = 54,761,557,279,463,080
  5. Step 5: Solve for x
    x = 54,761,557,279,463,080/202,143,757.60
  6. Step 6: Final answer
    x = 270,904,023.60

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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.