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Finding the Fourth Proportional to 600,222,860.78, 828,289,758.03 and 332,310,633.78

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Solution

The fourth proportional to 600,222,860.78, 828,289,758.03 and 332,310,633.78 is: 458,578,825.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,222,860.78 : 828,289,758.03 = 332,310,633.78 : x
  2. Step 2: Convert to fraction form
    600,222,860.78/828,289,758.03 = 332,310,633.78/x
  3. Step 3: Cross multiply
    600,222,860.78x = 828,289,758.03 × 332,310,633.78
  4. Step 4: Simplify right side
    600,222,860.78x = 275,249,494,442,593,920
  5. Step 5: Solve for x
    x = 275,249,494,442,593,920/600,222,860.78
  6. Step 6: Final answer
    x = 458,578,825.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.