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Finding the Fourth Proportional to 1,510,361,883,002, 2,265,542,824,503 and 1,510,361,883,002

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Solution

The fourth proportional to 1,510,361,883,002, 2,265,542,824,503 and 1,510,361,883,002 is: 2,265,542,824,503

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510,361,883,002 : 2,265,542,824,503 = 1,510,361,883,002 : x
  2. Step 2: Convert to fraction form
    1,510,361,883,002/2,265,542,824,503 = 1,510,361,883,002/x
  3. Step 3: Cross multiply
    1,510,361,883,002x = 2,265,542,824,503 × 1,510,361,883,002
  4. Step 4: Simplify right side
    1,510,361,883,002x = 3,421,789,526,438,020,776,984,576
  5. Step 5: Solve for x
    x = 3,421,789,526,438,020,776,984,576/1,510,361,883,002
  6. Step 6: Final answer
    x = 2,265,542,824,503

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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.