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Finding the Fourth Proportional to 12,066,221,378,045, 18,099,332,067,067 and 12,066,221,378,045

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Solution

The fourth proportional to 12,066,221,378,045, 18,099,332,067,067 and 12,066,221,378,045 is: 18,099,332,067,067

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,066,221,378,045 : 18,099,332,067,067 = 12,066,221,378,045 : x
  2. Step 2: Convert to fraction form
    12,066,221,378,045/18,099,332,067,067 = 12,066,221,378,045/x
  3. Step 3: Cross multiply
    12,066,221,378,045x = 18,099,332,067,067 × 12,066,221,378,045
  4. Step 4: Simplify right side
    12,066,221,378,045x = 218,390,547,515,979,250,802,884,608
  5. Step 5: Solve for x
    x = 218,390,547,515,979,250,802,884,608/12,066,221,378,045
  6. Step 6: Final answer
    x = 18,099,332,067,067

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.