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Finding the Fourth Proportional to 512,491,074.40, 768,736,611.60 and 426,326,773.60

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Solution

The fourth proportional to 512,491,074.40, 768,736,611.60 and 426,326,773.60 is: 639,490,160.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,491,074.40 : 768,736,611.60 = 426,326,773.60 : x
  2. Step 2: Convert to fraction form
    512,491,074.40/768,736,611.60 = 426,326,773.60/x
  3. Step 3: Cross multiply
    512,491,074.40x = 768,736,611.60 × 426,326,773.60
  4. Step 4: Simplify right side
    512,491,074.40x = 327,732,999,371,624,384
  5. Step 5: Solve for x
    x = 327,732,999,371,624,384/512,491,074.40
  6. Step 6: Final answer
    x = 639,490,160.40

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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.