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Finding the Fourth Proportional to 1,510,361,883,024, 2,265,542,824,536.20 and 1,510,361,883,024

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Solution

The fourth proportional to 1,510,361,883,024, 2,265,542,824,536.20 and 1,510,361,883,024 is: 2,265,542,824,536.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510,361,883,024 : 2,265,542,824,536.20 = 1,510,361,883,024 : x
  2. Step 2: Convert to fraction form
    1,510,361,883,024/2,265,542,824,536.20 = 1,510,361,883,024/x
  3. Step 3: Cross multiply
    1,510,361,883,024x = 2,265,542,824,536.20 × 1,510,361,883,024
  4. Step 4: Simplify right side
    1,510,361,883,024x = 3,421,789,526,538,007,078,764,544
  5. Step 5: Solve for x
    x = 3,421,789,526,538,007,078,764,544/1,510,361,883,024
  6. Step 6: Final answer
    x = 2,265,542,824,536.20

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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.