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Finding the Fourth Proportional to 10,701,096,138,001, 16,051,644,207,002 and 10,701,096,138,001

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Solution

The fourth proportional to 10,701,096,138,001, 16,051,644,207,002 and 10,701,096,138,001 is: 16,051,644,207,002

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701,096,138,001 : 16,051,644,207,002 = 10,701,096,138,001 : x
  2. Step 2: Convert to fraction form
    10,701,096,138,001/16,051,644,207,002 = 10,701,096,138,001/x
  3. Step 3: Cross multiply
    10,701,096,138,001x = 16,051,644,207,002 × 10,701,096,138,001
  4. Step 4: Simplify right side
    10,701,096,138,001x = 171,770,187,832,115,221,298,675,712
  5. Step 5: Solve for x
    x = 171,770,187,832,115,221,298,675,712/10,701,096,138,001
  6. Step 6: Final answer
    x = 16,051,644,207,002

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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.