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Finding the Fourth Proportional to 268,978,883.40, 403,468,325.10 and 160,139,766.60

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Solution

The fourth proportional to 268,978,883.40, 403,468,325.10 and 160,139,766.60 is: 240,209,649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,978,883.40 : 403,468,325.10 = 160,139,766.60 : x
  2. Step 2: Convert to fraction form
    268,978,883.40/403,468,325.10 = 160,139,766.60/x
  3. Step 3: Cross multiply
    268,978,883.40x = 403,468,325.10 × 160,139,766.60
  4. Step 4: Simplify right side
    268,978,883.40x = 64,611,323,412,006,920
  5. Step 5: Solve for x
    x = 64,611,323,412,006,920/268,978,883.40
  6. Step 6: Final answer
    x = 240,209,649.90

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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.