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Finding the Fourth Proportional to 396,322,337.40, 594,483,506.10 and 396,322,337.40

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Solution

The fourth proportional to 396,322,337.40, 594,483,506.10 and 396,322,337.40 is: 594,483,506.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,322,337.40 : 594,483,506.10 = 396,322,337.40 : x
  2. Step 2: Convert to fraction form
    396,322,337.40/594,483,506.10 = 396,322,337.40/x
  3. Step 3: Cross multiply
    396,322,337.40x = 594,483,506.10 × 396,322,337.40
  4. Step 4: Simplify right side
    396,322,337.40x = 235,607,092,683,299,168
  5. Step 5: Solve for x
    x = 235,607,092,683,299,168/396,322,337.40
  6. Step 6: Final answer
    x = 594,483,506.10

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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.