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Finding the Fourth Proportional to 102,019,902.45, 153,029,853.68 and 102,019,902.45

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Solution

The fourth proportional to 102,019,902.45, 153,029,853.68 and 102,019,902.45 is: 153,029,853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,019,902.45 : 153,029,853.68 = 102,019,902.45 : x
  2. Step 2: Convert to fraction form
    102,019,902.45/153,029,853.68 = 102,019,902.45/x
  3. Step 3: Cross multiply
    102,019,902.45x = 153,029,853.68 × 102,019,902.45
  4. Step 4: Simplify right side
    102,019,902.45x = 15,612,090,744,371,374
  5. Step 5: Solve for x
    x = 15,612,090,744,371,374/102,019,902.45
  6. Step 6: Final answer
    x = 153,029,853.68

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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.