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Finding the Fourth Proportional to 299,492,168.26, 413,320,579.12 and 165,527,202.60

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Solution

The fourth proportional to 299,492,168.26, 413,320,579.12 and 165,527,202.60 is: 228,439,359.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,492,168.26 : 413,320,579.12 = 165,527,202.60 : x
  2. Step 2: Convert to fraction form
    299,492,168.26/413,320,579.12 = 165,527,202.60/x
  3. Step 3: Cross multiply
    299,492,168.26x = 413,320,579.12 × 165,527,202.60
  4. Step 4: Simplify right side
    299,492,168.26x = 68,415,799,238,745,568
  5. Step 5: Solve for x
    x = 68,415,799,238,745,568/299,492,168.26
  6. Step 6: Final answer
    x = 228,439,359.99

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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.