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Finding the Fourth Proportional to 664,605,264.60, 996,907,896.90 and 320,231,496.60

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Solution

The fourth proportional to 664,605,264.60, 996,907,896.90 and 320,231,496.60 is: 480,347,244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,605,264.60 : 996,907,896.90 = 320,231,496.60 : x
  2. Step 2: Convert to fraction form
    664,605,264.60/996,907,896.90 = 320,231,496.60/x
  3. Step 3: Cross multiply
    664,605,264.60x = 996,907,896.90 × 320,231,496.60
  4. Step 4: Simplify right side
    664,605,264.60x = 319,241,307,796,645,504
  5. Step 5: Solve for x
    x = 319,241,307,796,645,504/664,605,264.60
  6. Step 6: Final answer
    x = 480,347,244.90

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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.