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Finding the Fourth Proportional to 339,948,846.20, 509,923,269.30 and 339,948,846.20

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Solution

The fourth proportional to 339,948,846.20, 509,923,269.30 and 339,948,846.20 is: 509,923,269.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,948,846.20 : 509,923,269.30 = 339,948,846.20 : x
  2. Step 2: Convert to fraction form
    339,948,846.20/509,923,269.30 = 339,948,846.20/x
  3. Step 3: Cross multiply
    339,948,846.20x = 509,923,269.30 × 339,948,846.20
  4. Step 4: Simplify right side
    339,948,846.20x = 173,347,827,049,066,880
  5. Step 5: Solve for x
    x = 173,347,827,049,066,880/339,948,846.20
  6. Step 6: Final answer
    x = 509,923,269.30

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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.