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Finding the Fourth Proportional to 299,003,999.80, 448,505,999.70 and 299,003,999.80

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Solution

The fourth proportional to 299,003,999.80, 448,505,999.70 and 299,003,999.80 is: 448,505,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,003,999.80 : 448,505,999.70 = 299,003,999.80 : x
  2. Step 2: Convert to fraction form
    299,003,999.80/448,505,999.70 = 299,003,999.80/x
  3. Step 3: Cross multiply
    299,003,999.80x = 448,505,999.70 × 299,003,999.80
  4. Step 4: Simplify right side
    299,003,999.80x = 134,105,087,844,597,600
  5. Step 5: Solve for x
    x = 134,105,087,844,597,600/299,003,999.80
  6. Step 6: Final answer
    x = 448,505,999.70

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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.