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Finding the Fourth Proportional to 212,845,505.20, 319,268,257.80 and 212,845,505.20

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Solution

The fourth proportional to 212,845,505.20, 319,268,257.80 and 212,845,505.20 is: 319,268,257.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,845,505.20 : 319,268,257.80 = 212,845,505.20 : x
  2. Step 2: Convert to fraction form
    212,845,505.20/319,268,257.80 = 212,845,505.20/x
  3. Step 3: Cross multiply
    212,845,505.20x = 319,268,257.80 × 212,845,505.20
  4. Step 4: Simplify right side
    212,845,505.20x = 67,954,813,625,764,840
  5. Step 5: Solve for x
    x = 67,954,813,625,764,840/212,845,505.20
  6. Step 6: Final answer
    x = 319,268,257.80

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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.