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Finding the Fourth Proportional to 225,301,835,092.05, 337,952,752,638.08 and 225,301,835,092.05

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Solution

The fourth proportional to 225,301,835,092.05, 337,952,752,638.08 and 225,301,835,092.05 is: 337,952,752,638.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,301,835,092.05 : 337,952,752,638.08 = 225,301,835,092.05 : x
  2. Step 2: Convert to fraction form
    225,301,835,092.05/337,952,752,638.08 = 225,301,835,092.05/x
  3. Step 3: Cross multiply
    225,301,835,092.05x = 337,952,752,638.08 × 225,301,835,092.05
  4. Step 4: Simplify right side
    225,301,835,092.05x = 76,141,375,343,769,059,065,856
  5. Step 5: Solve for x
    x = 76,141,375,343,769,059,065,856/225,301,835,092.05
  6. Step 6: Final answer
    x = 337,952,752,638.08

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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.