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Finding the Fourth Proportional to 17,003,219,328,342, 25,504,828,992,514 and 17,003,219,328,342

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Solution

The fourth proportional to 17,003,219,328,342, 25,504,828,992,514 and 17,003,219,328,342 is: 25,504,828,992,514

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,003,219,328,342 : 25,504,828,992,514 = 17,003,219,328,342 : x
  2. Step 2: Convert to fraction form
    17,003,219,328,342/25,504,828,992,514 = 17,003,219,328,342/x
  3. Step 3: Cross multiply
    17,003,219,328,342x = 25,504,828,992,514 × 17,003,219,328,342
  4. Step 4: Simplify right side
    17,003,219,328,342x = 433,664,201,291,571,494,872,154,112
  5. Step 5: Solve for x
    x = 433,664,201,291,571,494,872,154,112/17,003,219,328,342
  6. Step 6: Final answer
    x = 25,504,828,992,514

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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.