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Finding the Fourth Proportional to 268,920,512.40, 402,813,898.20 and 268,920,512.40

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Solution

The fourth proportional to 268,920,512.40, 402,813,898.20 and 268,920,512.40 is: 402,813,898.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,920,512.40 : 402,813,898.20 = 268,920,512.40 : x
  2. Step 2: Convert to fraction form
    268,920,512.40/402,813,898.20 = 268,920,512.40/x
  3. Step 3: Cross multiply
    268,920,512.40x = 402,813,898.20 × 268,920,512.40
  4. Step 4: Simplify right side
    268,920,512.40x = 108,324,919,905,785,424
  5. Step 5: Solve for x
    x = 108,324,919,905,785,424/268,920,512.40
  6. Step 6: Final answer
    x = 402,813,898.20

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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.