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Finding the Fourth Proportional to 378,008,201.20, 567,012,301.80 and 274,696,070.80

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Solution

The fourth proportional to 378,008,201.20, 567,012,301.80 and 274,696,070.80 is: 412,044,106.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,008,201.20 : 567,012,301.80 = 274,696,070.80 : x
  2. Step 2: Convert to fraction form
    378,008,201.20/567,012,301.80 = 274,696,070.80/x
  3. Step 3: Cross multiply
    378,008,201.20x = 567,012,301.80 × 274,696,070.80
  4. Step 4: Simplify right side
    378,008,201.20x = 155,756,051,399,723,776
  5. Step 5: Solve for x
    x = 155,756,051,399,723,776/378,008,201.20
  6. Step 6: Final answer
    x = 412,044,106.20

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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.