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Finding the Fourth Proportional to 35,902,019,939.80, 53,853,029,909.70 and 35,902,019,939.80

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Solution

The fourth proportional to 35,902,019,939.80, 53,853,029,909.70 and 35,902,019,939.80 is: 53,853,029,909.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,902,019,939.80 : 53,853,029,909.70 = 35,902,019,939.80 : x
  2. Step 2: Convert to fraction form
    35,902,019,939.80/53,853,029,909.70 = 35,902,019,939.80/x
  3. Step 3: Cross multiply
    35,902,019,939.80x = 53,853,029,909.70 × 35,902,019,939.80
  4. Step 4: Simplify right side
    35,902,019,939.80x = 1,933,432,553,636,695,375,872
  5. Step 5: Solve for x
    x = 1,933,432,553,636,695,375,872/35,902,019,939.80
  6. Step 6: Final answer
    x = 53,853,029,909.70

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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.