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Finding the Fourth Proportional to 491,327,013.60, 736,990,520.40 and 233,046,687.60

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Solution

The fourth proportional to 491,327,013.60, 736,990,520.40 and 233,046,687.60 is: 349,570,031.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,327,013.60 : 736,990,520.40 = 233,046,687.60 : x
  2. Step 2: Convert to fraction form
    491,327,013.60/736,990,520.40 = 233,046,687.60/x
  3. Step 3: Cross multiply
    491,327,013.60x = 736,990,520.40 × 233,046,687.60
  4. Step 4: Simplify right side
    491,327,013.60x = 171,753,199,571,820,224
  5. Step 5: Solve for x
    x = 171,753,199,571,820,224/491,327,013.60
  6. Step 6: Final answer
    x = 349,570,031.40

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Why These Related Problems?

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