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Finding the Fourth Proportional to 11,456,732,310,004, 17,185,098,465,005 and 11,456,732,310,004

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Solution

The fourth proportional to 11,456,732,310,004, 17,185,098,465,005 and 11,456,732,310,004 is: 17,185,098,465,005

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456,732,310,004 : 17,185,098,465,005 = 11,456,732,310,004 : x
  2. Step 2: Convert to fraction form
    11,456,732,310,004/17,185,098,465,005 = 11,456,732,310,004/x
  3. Step 3: Cross multiply
    11,456,732,310,004x = 17,185,098,465,005 × 11,456,732,310,004
  4. Step 4: Simplify right side
    11,456,732,310,004x = 196,885,072,834,622,917,261,131,776
  5. Step 5: Solve for x
    x = 196,885,072,834,622,917,261,131,776/11,456,732,310,004
  6. Step 6: Final answer
    x = 17,185,098,465,005

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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.