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Finding the Fourth Proportional to 13,786,288,313,945, 20,679,432,470,940 and 13,786,288,313,945

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Solution

The fourth proportional to 13,786,288,313,945, 20,679,432,470,940 and 13,786,288,313,945 is: 20,679,432,470,940

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,786,288,313,945 : 20,679,432,470,940 = 13,786,288,313,945 : x
  2. Step 2: Convert to fraction form
    13,786,288,313,945/20,679,432,470,940 = 13,786,288,313,945/x
  3. Step 3: Cross multiply
    13,786,288,313,945x = 20,679,432,470,940 × 13,786,288,313,945
  4. Step 4: Simplify right side
    13,786,288,313,945x = 285,092,618,213,134,890,174,513,152
  5. Step 5: Solve for x
    x = 285,092,618,213,134,890,174,513,152/13,786,288,313,945
  6. Step 6: Final answer
    x = 20,679,432,470,940

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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.