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Finding the Fourth Proportional to 256,229,816.40, 384,307,399.80 and 74,458,040.40

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Solution

The fourth proportional to 256,229,816.40, 384,307,399.80 and 74,458,040.40 is: 111,676,214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,229,816.40 : 384,307,399.80 = 74,458,040.40 : x
  2. Step 2: Convert to fraction form
    256,229,816.40/384,307,399.80 = 74,458,040.40/x
  3. Step 3: Cross multiply
    256,229,816.40x = 384,307,399.80 × 74,458,040.40
  4. Step 4: Simplify right side
    256,229,816.40x = 28,614,775,900,327,356
  5. Step 5: Solve for x
    x = 28,614,775,900,327,356/256,229,816.40
  6. Step 6: Final answer
    x = 111,676,214.35

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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.