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Finding the Fourth Proportional to 271,296,309.60, 380,325,016.80 and 271,296,309.60

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Solution

The fourth proportional to 271,296,309.60, 380,325,016.80 and 271,296,309.60 is: 380,325,016.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,296,309.60 : 380,325,016.80 = 271,296,309.60 : x
  2. Step 2: Convert to fraction form
    271,296,309.60/380,325,016.80 = 271,296,309.60/x
  3. Step 3: Cross multiply
    271,296,309.60x = 380,325,016.80 × 271,296,309.60
  4. Step 4: Simplify right side
    271,296,309.60x = 103,180,773,506,398,016
  5. Step 5: Solve for x
    x = 103,180,773,506,398,016/271,296,309.60
  6. Step 6: Final answer
    x = 380,325,016.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.