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Finding the Fourth Proportional to 647,168,960.00, 970,747,584.97 and 204,511,712.48

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Solution

The fourth proportional to 647,168,960.00, 970,747,584.97 and 204,511,712.48 is: 306,765,718.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,168,960.00 : 970,747,584.97 = 204,511,712.48 : x
  2. Step 2: Convert to fraction form
    647,168,960.00/970,747,584.97 = 204,511,712.48/x
  3. Step 3: Cross multiply
    647,168,960.00x = 970,747,584.97 × 204,511,712.48
  4. Step 4: Simplify right side
    647,168,960.00x = 198,529,250,990,977,152
  5. Step 5: Solve for x
    x = 198,529,250,990,977,152/647,168,960.00
  6. Step 6: Final answer
    x = 306,765,718.48

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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.