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Finding the Fourth Proportional to 256,271,168.40, 384,369,427.80 and 74,499,392.40

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Solution

The fourth proportional to 256,271,168.40, 384,369,427.80 and 74,499,392.40 is: 111,738,238.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,271,168.40 : 384,369,427.80 = 74,499,392.40 : x
  2. Step 2: Convert to fraction form
    256,271,168.40/384,369,427.80 = 74,499,392.40/x
  3. Step 3: Cross multiply
    256,271,168.40x = 384,369,427.80 × 74,499,392.40
  4. Step 4: Simplify right side
    256,271,168.40x = 28,635,288,828,235,672
  5. Step 5: Solve for x
    x = 28,635,288,828,235,672/256,271,168.40
  6. Step 6: Final answer
    x = 111,738,238.08

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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.