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Finding the Fourth Proportional to 102,017,138.70, 153,025,708.05 and 102,017,138.70

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Solution

The fourth proportional to 102,017,138.70, 153,025,708.05 and 102,017,138.70 is: 153,025,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,017,138.70 : 153,025,708.05 = 102,017,138.70 : x
  2. Step 2: Convert to fraction form
    102,017,138.70/153,025,708.05 = 102,017,138.70/x
  3. Step 3: Cross multiply
    102,017,138.70x = 153,025,708.05 × 102,017,138.70
  4. Step 4: Simplify right side
    102,017,138.70x = 15,611,244,882,802,558
  5. Step 5: Solve for x
    x = 15,611,244,882,802,558/102,017,138.70
  6. Step 6: Final answer
    x = 153,025,708.05

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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.