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Finding the Fourth Proportional to 165,657,206,537.45, 248,485,809,806.17 and 165,657,206,537.45

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Solution

The fourth proportional to 165,657,206,537.45, 248,485,809,806.17 and 165,657,206,537.45 is: 248,485,809,806.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,657,206,537.45 : 248,485,809,806.17 = 165,657,206,537.45 : x
  2. Step 2: Convert to fraction form
    165,657,206,537.45/248,485,809,806.17 = 165,657,206,537.45/x
  3. Step 3: Cross multiply
    165,657,206,537.45x = 248,485,809,806.17 × 165,657,206,537.45
  4. Step 4: Simplify right side
    165,657,206,537.45x = 41,163,465,116,686,227,603,456
  5. Step 5: Solve for x
    x = 41,163,465,116,686,227,603,456/165,657,206,537.45
  6. Step 6: Final answer
    x = 248,485,809,806.17

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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.