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Finding the Fourth Proportional to 275,445,944,999.20, 413,168,917,498.80 and 275,445,944,999.20

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Solution

The fourth proportional to 275,445,944,999.20, 413,168,917,498.80 and 275,445,944,999.20 is: 413,168,917,498.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,445,944,999.20 : 413,168,917,498.80 = 275,445,944,999.20 : x
  2. Step 2: Convert to fraction form
    275,445,944,999.20/413,168,917,498.80 = 275,445,944,999.20/x
  3. Step 3: Cross multiply
    275,445,944,999.20x = 413,168,917,498.80 × 275,445,944,999.20
  4. Step 4: Simplify right side
    275,445,944,999.20x = 113,805,702,924,753,461,837,824
  5. Step 5: Solve for x
    x = 113,805,702,924,753,461,837,824/275,445,944,999.20
  6. Step 6: Final answer
    x = 413,168,917,498.80

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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.