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Finding the Fourth Proportional to 11,335,479,696,097, 17,003,219,544,145 and 11,335,479,696,097

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Solution

The fourth proportional to 11,335,479,696,097, 17,003,219,544,145 and 11,335,479,696,097 is: 17,003,219,544,145

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,335,479,696,097 : 17,003,219,544,145 = 11,335,479,696,097 : x
  2. Step 2: Convert to fraction form
    11,335,479,696,097/17,003,219,544,145 = 11,335,479,696,097/x
  3. Step 3: Cross multiply
    11,335,479,696,097x = 17,003,219,544,145 × 11,335,479,696,097
  4. Step 4: Simplify right side
    11,335,479,696,097x = 192,739,649,910,935,325,799,088,128
  5. Step 5: Solve for x
    x = 192,739,649,910,935,325,799,088,128/11,335,479,696,097
  6. Step 6: Final answer
    x = 17,003,219,544,145

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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.