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Finding the Fourth Proportional to 102,019,941.70, 153,029,912.56 and 102,019,941.70

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Solution

The fourth proportional to 102,019,941.70, 153,029,912.56 and 102,019,941.70 is: 153,029,912.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,019,941.70 : 153,029,912.56 = 102,019,941.70 : x
  2. Step 2: Convert to fraction form
    102,019,941.70/153,029,912.56 = 102,019,941.70/x
  3. Step 3: Cross multiply
    102,019,941.70x = 153,029,912.56 × 102,019,941.70
  4. Step 4: Simplify right side
    102,019,941.70x = 15,612,102,757,727,298
  5. Step 5: Solve for x
    x = 15,612,102,757,727,298/102,019,941.70
  6. Step 6: Final answer
    x = 153,029,912.56

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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.