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Finding the Fourth Proportional to 328,679,751,540.10, 493,019,627,310.15 and 328,679,751,540.10

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Solution

The fourth proportional to 328,679,751,540.10, 493,019,627,310.15 and 328,679,751,540.10 is: 493,019,627,310.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,679,751,540.10 : 493,019,627,310.15 = 328,679,751,540.10 : x
  2. Step 2: Convert to fraction form
    328,679,751,540.10/493,019,627,310.15 = 328,679,751,540.10/x
  3. Step 3: Cross multiply
    328,679,751,540.10x = 493,019,627,310.15 × 328,679,751,540.10
  4. Step 4: Simplify right side
    328,679,751,540.10x = 162,045,568,608,692,793,769,984
  5. Step 5: Solve for x
    x = 162,045,568,608,692,793,769,984/328,679,751,540.10
  6. Step 6: Final answer
    x = 493,019,627,310.15

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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.