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Finding the Fourth Proportional to 264,080,603,229.80, 396,120,904,844.70 and 264,080,603,229.80

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Solution

The fourth proportional to 264,080,603,229.80, 396,120,904,844.70 and 264,080,603,229.80 is: 396,120,904,844.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,080,603,229.80 : 396,120,904,844.70 = 264,080,603,229.80 : x
  2. Step 2: Convert to fraction form
    264,080,603,229.80/396,120,904,844.70 = 264,080,603,229.80/x
  3. Step 3: Cross multiply
    264,080,603,229.80x = 396,120,904,844.70 × 264,080,603,229.80
  4. Step 4: Simplify right side
    264,080,603,229.80x = 104,607,847,503,322,572,390,400
  5. Step 5: Solve for x
    x = 104,607,847,503,322,572,390,400/264,080,603,229.80
  6. Step 6: Final answer
    x = 396,120,904,844.70

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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.