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Finding the Fourth Proportional to 268,843,825.80, 403,265,738.70 and 185,620,165.20

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Solution

The fourth proportional to 268,843,825.80, 403,265,738.70 and 185,620,165.20 is: 278,430,247.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,843,825.80 : 403,265,738.70 = 185,620,165.20 : x
  2. Step 2: Convert to fraction form
    268,843,825.80/403,265,738.70 = 185,620,165.20/x
  3. Step 3: Cross multiply
    268,843,825.80x = 403,265,738.70 × 185,620,165.20
  4. Step 4: Simplify right side
    268,843,825.80x = 74,854,253,036,994,032
  5. Step 5: Solve for x
    x = 74,854,253,036,994,032/268,843,825.80
  6. Step 6: Final answer
    x = 278,430,247.80

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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.