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Finding the Fourth Proportional to 34,769,976,099.80, 52,154,964,149.70 and 34,769,976,099.80

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Solution

The fourth proportional to 34,769,976,099.80, 52,154,964,149.70 and 34,769,976,099.80 is: 52,154,964,149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,769,976,099.80 : 52,154,964,149.70 = 34,769,976,099.80 : x
  2. Step 2: Convert to fraction form
    34,769,976,099.80/52,154,964,149.70 = 34,769,976,099.80/x
  3. Step 3: Cross multiply
    34,769,976,099.80x = 52,154,964,149.70 × 34,769,976,099.80
  4. Step 4: Simplify right side
    34,769,976,099.80x = 1,813,426,856,970,994,843,648
  5. Step 5: Solve for x
    x = 1,813,426,856,970,994,843,648/34,769,976,099.80
  6. Step 6: Final answer
    x = 52,154,964,149.70

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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.