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Finding the Fourth Proportional to 14,894,165,467,825, 22,341,248,201,738 and 14,894,165,467,825

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Solution

The fourth proportional to 14,894,165,467,825, 22,341,248,201,738 and 14,894,165,467,825 is: 22,341,248,201,738

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,894,165,467,825 : 22,341,248,201,738 = 14,894,165,467,825 : x
  2. Step 2: Convert to fraction form
    14,894,165,467,825/22,341,248,201,738 = 14,894,165,467,825/x
  3. Step 3: Cross multiply
    14,894,165,467,825x = 22,341,248,201,738 × 14,894,165,467,825
  4. Step 4: Simplify right side
    14,894,165,467,825x = 332,754,247,474,433,507,821,879,296
  5. Step 5: Solve for x
    x = 332,754,247,474,433,507,821,879,296/14,894,165,467,825
  6. Step 6: Final answer
    x = 22,341,248,201,738

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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.