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Finding the Fourth Proportional to 275,835,609,157.12, 413,753,413,735.68 and 275,835,609,157.12

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Solution

The fourth proportional to 275,835,609,157.12, 413,753,413,735.68 and 275,835,609,157.12 is: 413,753,413,735.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,835,609,157.12 : 413,753,413,735.68 = 275,835,609,157.12 : x
  2. Step 2: Convert to fraction form
    275,835,609,157.12/413,753,413,735.68 = 275,835,609,157.12/x
  3. Step 3: Cross multiply
    275,835,609,157.12x = 413,753,413,735.68 × 275,835,609,157.12
  4. Step 4: Simplify right side
    275,835,609,157.12x = 114,127,924,918,619,192,950,784
  5. Step 5: Solve for x
    x = 114,127,924,918,619,192,950,784/275,835,609,157.12
  6. Step 6: Final answer
    x = 413,753,413,735.68

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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.