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Finding the Fourth Proportional to 664,302,629.70, 996,453,944.55 and 457,678,368.90

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Solution

The fourth proportional to 664,302,629.70, 996,453,944.55 and 457,678,368.90 is: 686,517,553.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,302,629.70 : 996,453,944.55 = 457,678,368.90 : x
  2. Step 2: Convert to fraction form
    664,302,629.70/996,453,944.55 = 457,678,368.90/x
  3. Step 3: Cross multiply
    664,302,629.70x = 996,453,944.55 × 457,678,368.90
  4. Step 4: Simplify right side
    664,302,629.70x = 456,055,416,025,614,976
  5. Step 5: Solve for x
    x = 456,055,416,025,614,976/664,302,629.70
  6. Step 6: Final answer
    x = 686,517,553.35

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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.