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Finding the Fourth Proportional to 48,086,793,967.80, 67,183,917,412.20 and 48,086,793,967.80

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Solution

The fourth proportional to 48,086,793,967.80, 67,183,917,412.20 and 48,086,793,967.80 is: 67,183,917,412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,086,793,967.80 : 67,183,917,412.20 = 48,086,793,967.80 : x
  2. Step 2: Convert to fraction form
    48,086,793,967.80/67,183,917,412.20 = 48,086,793,967.80/x
  3. Step 3: Cross multiply
    48,086,793,967.80x = 67,183,917,412.20 × 48,086,793,967.80
  4. Step 4: Simplify right side
    48,086,793,967.80x = 3,230,659,194,550,152,593,408
  5. Step 5: Solve for x
    x = 3,230,659,194,550,152,593,408/48,086,793,967.80
  6. Step 6: Final answer
    x = 67,183,917,412.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.