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Finding the Fourth Proportional to 256,245,541.20, 384,368,311.80 and 213,163,390.80

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Solution

The fourth proportional to 256,245,541.20, 384,368,311.80 and 213,163,390.80 is: 319,745,086.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,245,541.20 : 384,368,311.80 = 213,163,390.80 : x
  2. Step 2: Convert to fraction form
    256,245,541.20/384,368,311.80 = 213,163,390.80/x
  3. Step 3: Cross multiply
    256,245,541.20x = 384,368,311.80 × 213,163,390.80
  4. Step 4: Simplify right side
    256,245,541.20x = 81,933,252,659,359,664
  5. Step 5: Solve for x
    x = 81,933,252,659,359,664/256,245,541.20
  6. Step 6: Final answer
    x = 319,745,086.20

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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.