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Finding the Fourth Proportional to 339,532,400.70, 509,298,601.05 and 339,532,400.70

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Solution

The fourth proportional to 339,532,400.70, 509,298,601.05 and 339,532,400.70 is: 509,298,601.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,532,400.70 : 509,298,601.05 = 339,532,400.70 : x
  2. Step 2: Convert to fraction form
    339,532,400.70/509,298,601.05 = 339,532,400.70/x
  3. Step 3: Cross multiply
    339,532,400.70x = 509,298,601.05 × 339,532,400.70
  4. Step 4: Simplify right side
    339,532,400.70x = 172,923,376,687,658,048
  5. Step 5: Solve for x
    x = 172,923,376,687,658,048/339,532,400.70
  6. Step 6: Final answer
    x = 509,298,601.05

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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.