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Finding the Fourth Proportional to 1,510,361,883,016, 2,265,542,824,524 and 1,510,361,883,016

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Solution

The fourth proportional to 1,510,361,883,016, 2,265,542,824,524 and 1,510,361,883,016 is: 2,265,542,824,524

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510,361,883,016 : 2,265,542,824,524 = 1,510,361,883,016 : x
  2. Step 2: Convert to fraction form
    1,510,361,883,016/2,265,542,824,524 = 1,510,361,883,016/x
  3. Step 3: Cross multiply
    1,510,361,883,016x = 2,265,542,824,524 × 1,510,361,883,016
  4. Step 4: Simplify right side
    1,510,361,883,016x = 3,421,789,526,501,455,833,333,760
  5. Step 5: Solve for x
    x = 3,421,789,526,501,455,833,333,760/1,510,361,883,016
  6. Step 6: Final answer
    x = 2,265,542,824,524

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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.