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Finding the Fourth Proportional to 213,355,371.80, 320,033,057.70 and 204,397,419.80

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Solution

The fourth proportional to 213,355,371.80, 320,033,057.70 and 204,397,419.80 is: 306,596,129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,355,371.80 : 320,033,057.70 = 204,397,419.80 : x
  2. Step 2: Convert to fraction form
    213,355,371.80/320,033,057.70 = 204,397,419.80/x
  3. Step 3: Cross multiply
    213,355,371.80x = 320,033,057.70 × 204,397,419.80
  4. Step 4: Simplify right side
    213,355,371.80x = 65,413,931,244,584,520
  5. Step 5: Solve for x
    x = 65,413,931,244,584,520/213,355,371.80
  6. Step 6: Final answer
    x = 306,596,129.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.