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Finding the Fourth Proportional to 965,821,159.30, 1,448,731,738.95 and 965,821,159.30

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Solution

The fourth proportional to 965,821,159.30, 1,448,731,738.95 and 965,821,159.30 is: 1,448,731,738.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,821,159.30 : 1,448,731,738.95 = 965,821,159.30 : x
  2. Step 2: Convert to fraction form
    965,821,159.30/1,448,731,738.95 = 965,821,159.30/x
  3. Step 3: Cross multiply
    965,821,159.30x = 1,448,731,738.95 × 965,821,159.30
  4. Step 4: Simplify right side
    965,821,159.30x = 1,399,215,767,627,394,048
  5. Step 5: Solve for x
    x = 1,399,215,767,627,394,048/965,821,159.30
  6. Step 6: Final answer
    x = 1,448,731,738.95

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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.