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Finding the Fourth Proportional to 275,835,608,970.09, 413,753,413,455.12 and 275,835,608,970.09

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Solution

The fourth proportional to 275,835,608,970.09, 413,753,413,455.12 and 275,835,608,970.09 is: 413,753,413,455.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,835,608,970.09 : 413,753,413,455.12 = 275,835,608,970.09 : x
  2. Step 2: Convert to fraction form
    275,835,608,970.09/413,753,413,455.12 = 275,835,608,970.09/x
  3. Step 3: Cross multiply
    275,835,608,970.09x = 413,753,413,455.12 × 275,835,608,970.09
  4. Step 4: Simplify right side
    275,835,608,970.09x = 114,127,924,763,846,472,892,416
  5. Step 5: Solve for x
    x = 114,127,924,763,846,472,892,416/275,835,608,970.09
  6. Step 6: Final answer
    x = 413,753,413,455.12

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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.