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Finding the Fourth Proportional to 367,458,808,982.80, 551,188,213,474.20 and 367,458,808,982.80

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Solution

The fourth proportional to 367,458,808,982.80, 551,188,213,474.20 and 367,458,808,982.80 is: 551,188,213,474.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,458,808,982.80 : 551,188,213,474.20 = 367,458,808,982.80 : x
  2. Step 2: Convert to fraction form
    367,458,808,982.80/551,188,213,474.20 = 367,458,808,982.80/x
  3. Step 3: Cross multiply
    367,458,808,982.80x = 551,188,213,474.20 × 367,458,808,982.80
  4. Step 4: Simplify right side
    367,458,808,982.80x = 202,538,964,448,586,821,009,408
  5. Step 5: Solve for x
    x = 202,538,964,448,586,821,009,408/367,458,808,982.80
  6. Step 6: Final answer
    x = 551,188,213,474.20

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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.