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Finding the Fourth Proportional to 232,810,524,101.70, 349,215,786,152.55 and 232,810,524,101.70

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Solution

The fourth proportional to 232,810,524,101.70, 349,215,786,152.55 and 232,810,524,101.70 is: 349,215,786,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,810,524,101.70 : 349,215,786,152.55 = 232,810,524,101.70 : x
  2. Step 2: Convert to fraction form
    232,810,524,101.70/349,215,786,152.55 = 232,810,524,101.70/x
  3. Step 3: Cross multiply
    232,810,524,101.70x = 349,215,786,152.55 × 232,810,524,101.70
  4. Step 4: Simplify right side
    232,810,524,101.70x = 81,301,110,198,762,353,983,488
  5. Step 5: Solve for x
    x = 81,301,110,198,762,353,983,488/232,810,524,101.70
  6. Step 6: Final answer
    x = 349,215,786,152.55

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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.