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Finding the Fourth Proportional to 153,894,856,369.70, 230,474,952,535.35 and 153,894,856,369.70

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Solution

The fourth proportional to 153,894,856,369.70, 230,474,952,535.35 and 153,894,856,369.70 is: 230,474,952,535.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,894,856,369.70 : 230,474,952,535.35 = 153,894,856,369.70 : x
  2. Step 2: Convert to fraction form
    153,894,856,369.70/230,474,952,535.35 = 153,894,856,369.70/x
  3. Step 3: Cross multiply
    153,894,856,369.70x = 230,474,952,535.35 × 153,894,856,369.70
  4. Step 4: Simplify right side
    153,894,856,369.70x = 35,468,909,717,241,116,753,920
  5. Step 5: Solve for x
    x = 35,468,909,717,241,116,753,920/153,894,856,369.70
  6. Step 6: Final answer
    x = 230,474,952,535.35

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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.