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Finding the Fourth Proportional to 275,594,110,200.22, 413,391,165,300.33 and 275,594,110,200.22

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Solution

The fourth proportional to 275,594,110,200.22, 413,391,165,300.33 and 275,594,110,200.22 is: 413,391,165,300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,594,110,200.22 : 413,391,165,300.33 = 275,594,110,200.22 : x
  2. Step 2: Convert to fraction form
    275,594,110,200.22/413,391,165,300.33 = 275,594,110,200.22/x
  3. Step 3: Cross multiply
    275,594,110,200.22x = 413,391,165,300.33 × 275,594,110,200.22
  4. Step 4: Simplify right side
    275,594,110,200.22x = 113,928,170,365,576,493,924,352
  5. Step 5: Solve for x
    x = 113,928,170,365,576,493,924,352/275,594,110,200.22
  6. Step 6: Final answer
    x = 413,391,165,300.33

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1.5x scale

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.