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Finding the Fourth Proportional to 1,510,361,883,003, 2,265,542,824,504.50 and 1,510,361,883,003

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Solution

The fourth proportional to 1,510,361,883,003, 2,265,542,824,504.50 and 1,510,361,883,003 is: 2,265,542,824,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510,361,883,003 : 2,265,542,824,504.50 = 1,510,361,883,003 : x
  2. Step 2: Convert to fraction form
    1,510,361,883,003/2,265,542,824,504.50 = 1,510,361,883,003/x
  3. Step 3: Cross multiply
    1,510,361,883,003x = 2,265,542,824,504.50 × 1,510,361,883,003
  4. Step 4: Simplify right side
    1,510,361,883,003x = 3,421,789,526,442,551,967,481,856
  5. Step 5: Solve for x
    x = 3,421,789,526,442,551,967,481,856/1,510,361,883,003
  6. Step 6: Final answer
    x = 2,265,542,824,504.50

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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.