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Finding the Fourth Proportional to 396,031,206,452.55, 594,046,809,678.82 and 396,031,206,452.55

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Solution

The fourth proportional to 396,031,206,452.55, 594,046,809,678.82 and 396,031,206,452.55 is: 594,046,809,678.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,031,206,452.55 : 594,046,809,678.82 = 396,031,206,452.55 : x
  2. Step 2: Convert to fraction form
    396,031,206,452.55/594,046,809,678.82 = 396,031,206,452.55/x
  3. Step 3: Cross multiply
    396,031,206,452.55x = 594,046,809,678.82 × 396,031,206,452.55
  4. Step 4: Simplify right side
    396,031,206,452.55x = 235,261,074,726,391,423,959,040
  5. Step 5: Solve for x
    x = 235,261,074,726,391,423,959,040/396,031,206,452.55
  6. Step 6: Final answer
    x = 594,046,809,678.82

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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.