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Finding the Fourth Proportional to 57,304,375,664.70, 85,956,563,497.05 and 57,304,375,664.70

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Solution

The fourth proportional to 57,304,375,664.70, 85,956,563,497.05 and 57,304,375,664.70 is: 85,956,563,497.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,304,375,664.70 : 85,956,563,497.05 = 57,304,375,664.70 : x
  2. Step 2: Convert to fraction form
    57,304,375,664.70/85,956,563,497.05 = 57,304,375,664.70/x
  3. Step 3: Cross multiply
    57,304,375,664.70x = 85,956,563,497.05 × 57,304,375,664.70
  4. Step 4: Simplify right side
    57,304,375,664.70x = 4,925,687,205,481,591,865,344
  5. Step 5: Solve for x
    x = 4,925,687,205,481,591,865,344/57,304,375,664.70
  6. Step 6: Final answer
    x = 85,956,563,497.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.