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Finding the Fourth Proportional to 275,835,608,940.15, 413,753,413,410.20 and 275,835,608,940.15

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Solution

The fourth proportional to 275,835,608,940.15, 413,753,413,410.20 and 275,835,608,940.15 is: 413,753,413,410.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,835,608,940.15 : 413,753,413,410.20 = 275,835,608,940.15 : x
  2. Step 2: Convert to fraction form
    275,835,608,940.15/413,753,413,410.20 = 275,835,608,940.15/x
  3. Step 3: Cross multiply
    275,835,608,940.15x = 413,753,413,410.20 × 275,835,608,940.15
  4. Step 4: Simplify right side
    275,835,608,940.15x = 114,127,924,739,068,152,250,368
  5. Step 5: Solve for x
    x = 114,127,924,739,068,152,250,368/275,835,608,940.15
  6. Step 6: Final answer
    x = 413,753,413,410.20

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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.