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Finding the Fourth Proportional to 367,959,967,223.40, 551,939,950,835.10 and 367,959,967,223.40

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Solution

The fourth proportional to 367,959,967,223.40, 551,939,950,835.10 and 367,959,967,223.40 is: 551,939,950,835.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,959,967,223.40 : 551,939,950,835.10 = 367,959,967,223.40 : x
  2. Step 2: Convert to fraction form
    367,959,967,223.40/551,939,950,835.10 = 367,959,967,223.40/x
  3. Step 3: Cross multiply
    367,959,967,223.40x = 551,939,950,835.10 × 367,959,967,223.40
  4. Step 4: Simplify right side
    367,959,967,223.40x = 203,091,806,218,568,396,177,408
  5. Step 5: Solve for x
    x = 203,091,806,218,568,396,177,408/367,959,967,223.40
  6. Step 6: Final answer
    x = 551,939,950,835.10

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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.