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Finding the Fourth Proportional to 12,082,784,296,093, 18,124,176,444,140 and 12,082,784,296,093

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Solution

The fourth proportional to 12,082,784,296,093, 18,124,176,444,140 and 12,082,784,296,093 is: 18,124,176,444,140

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082,784,296,093 : 18,124,176,444,140 = 12,082,784,296,093 : x
  2. Step 2: Convert to fraction form
    12,082,784,296,093/18,124,176,444,140 = 12,082,784,296,093/x
  3. Step 3: Cross multiply
    12,082,784,296,093x = 18,124,176,444,140 × 12,082,784,296,093
  4. Step 4: Simplify right side
    12,082,784,296,093x = 218,990,514,518,873,469,492,396,032
  5. Step 5: Solve for x
    x = 218,990,514,518,873,469,492,396,032/12,082,784,296,093
  6. Step 6: Final answer
    x = 18,124,176,444,140

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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.