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Finding the Fourth Proportional to 268,271,999.40, 402,407,999.10 and 255,517,415.40

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Solution

The fourth proportional to 268,271,999.40, 402,407,999.10 and 255,517,415.40 is: 383,276,123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,271,999.40 : 402,407,999.10 = 255,517,415.40 : x
  2. Step 2: Convert to fraction form
    268,271,999.40/402,407,999.10 = 255,517,415.40/x
  3. Step 3: Cross multiply
    268,271,999.40x = 402,407,999.10 × 255,517,415.40
  4. Step 4: Simplify right side
    268,271,999.40x = 102,822,251,866,317,536
  5. Step 5: Solve for x
    x = 102,822,251,866,317,536/268,271,999.40
  6. Step 6: Final answer
    x = 383,276,123.10

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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.