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Finding the Fourth Proportional to 275,835,608,974.90, 413,753,413,462.35 and 275,835,608,974.90

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Solution

The fourth proportional to 275,835,608,974.90, 413,753,413,462.35 and 275,835,608,974.90 is: 413,753,413,462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,835,608,974.90 : 413,753,413,462.35 = 275,835,608,974.90 : x
  2. Step 2: Convert to fraction form
    275,835,608,974.90/413,753,413,462.35 = 275,835,608,974.90/x
  3. Step 3: Cross multiply
    275,835,608,974.90x = 413,753,413,462.35 × 275,835,608,974.90
  4. Step 4: Simplify right side
    275,835,608,974.90x = 114,127,924,767,830,910,697,472
  5. Step 5: Solve for x
    x = 114,127,924,767,830,910,697,472/275,835,608,974.90
  6. Step 6: Final answer
    x = 413,753,413,462.35

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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.