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Finding the Fourth Proportional to 409,562,341.60, 614,343,512.40 and 271,812,834.40

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Solution

The fourth proportional to 409,562,341.60, 614,343,512.40 and 271,812,834.40 is: 407,719,251.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,562,341.60 : 614,343,512.40 = 271,812,834.40 : x
  2. Step 2: Convert to fraction form
    409,562,341.60/614,343,512.40 = 271,812,834.40/x
  3. Step 3: Cross multiply
    409,562,341.60x = 614,343,512.40 × 271,812,834.40
  4. Step 4: Simplify right side
    409,562,341.60x = 166,986,451,400,695,520
  5. Step 5: Solve for x
    x = 166,986,451,400,695,520/409,562,341.60
  6. Step 6: Final answer
    x = 407,719,251.60

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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.