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Finding the Fourth Proportional to 12,066,221,376,071, 18,099,332,064,109 and 12,066,221,376,071

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Solution

The fourth proportional to 12,066,221,376,071, 18,099,332,064,109 and 12,066,221,376,071 is: 18,099,332,064,109

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,066,221,376,071 : 18,099,332,064,109 = 12,066,221,376,071 : x
  2. Step 2: Convert to fraction form
    12,066,221,376,071/18,099,332,064,109 = 12,066,221,376,071/x
  3. Step 3: Cross multiply
    12,066,221,376,071x = 18,099,332,064,109 × 12,066,221,376,071
  4. Step 4: Simplify right side
    12,066,221,376,071x = 218,390,547,444,559,270,429,851,648
  5. Step 5: Solve for x
    x = 218,390,547,444,559,270,429,851,648/12,066,221,376,071
  6. Step 6: Final answer
    x = 18,099,332,064,109

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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.