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Finding the Fourth Proportional to 275,835,609,062.10, 413,753,413,593.14 and 275,835,609,062.10

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Solution

The fourth proportional to 275,835,609,062.10, 413,753,413,593.14 and 275,835,609,062.10 is: 413,753,413,593.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,835,609,062.10 : 413,753,413,593.14 = 275,835,609,062.10 : x
  2. Step 2: Convert to fraction form
    275,835,609,062.10/413,753,413,593.14 = 275,835,609,062.10/x
  3. Step 3: Cross multiply
    275,835,609,062.10x = 413,753,413,593.14 × 275,835,609,062.10
  4. Step 4: Simplify right side
    275,835,609,062.10x = 114,127,924,839,986,730,369,024
  5. Step 5: Solve for x
    x = 114,127,924,839,986,730,369,024/275,835,609,062.10
  6. Step 6: Final answer
    x = 413,753,413,593.14

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Double scale
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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.