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Finding the Fourth Proportional to 275,594,103,682.72, 413,391,155,524.08 and 275,594,103,682.72

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Solution

The fourth proportional to 275,594,103,682.72, 413,391,155,524.08 and 275,594,103,682.72 is: 413,391,155,524.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,594,103,682.72 : 413,391,155,524.08 = 275,594,103,682.72 : x
  2. Step 2: Convert to fraction form
    275,594,103,682.72/413,391,155,524.08 = 275,594,103,682.72/x
  3. Step 3: Cross multiply
    275,594,103,682.72x = 413,391,155,524.08 × 275,594,103,682.72
  4. Step 4: Simplify right side
    275,594,103,682.72x = 113,928,164,977,022,729,191,424
  5. Step 5: Solve for x
    x = 113,928,164,977,022,729,191,424/275,594,103,682.72
  6. Step 6: Final answer
    x = 413,391,155,524.08

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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.