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Finding the Fourth Proportional to 256,271,163.40, 384,369,420.30 and 74,499,387.40

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Solution

The fourth proportional to 256,271,163.40, 384,369,420.30 and 74,499,387.40 is: 111,738,230.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,271,163.40 : 384,369,420.30 = 74,499,387.40 : x
  2. Step 2: Convert to fraction form
    256,271,163.40/384,369,420.30 = 74,499,387.40/x
  3. Step 3: Cross multiply
    256,271,163.40x = 384,369,420.30 × 74,499,387.40
  4. Step 4: Simplify right side
    256,271,163.40x = 28,635,286,347,643,128
  5. Step 5: Solve for x
    x = 28,635,286,347,643,128/256,271,163.40
  6. Step 6: Final answer
    x = 111,738,230.58

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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.