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Finding the Fourth Proportional to 965,821,095.80, 1,448,731,643.70 and 965,821,095.80

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Solution

The fourth proportional to 965,821,095.80, 1,448,731,643.70 and 965,821,095.80 is: 1,448,731,643.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,821,095.80 : 1,448,731,643.70 = 965,821,095.80 : x
  2. Step 2: Convert to fraction form
    965,821,095.80/1,448,731,643.70 = 965,821,095.80/x
  3. Step 3: Cross multiply
    965,821,095.80x = 1,448,731,643.70 × 965,821,095.80
  4. Step 4: Simplify right side
    965,821,095.80x = 1,399,215,583,638,469,120
  5. Step 5: Solve for x
    x = 1,399,215,583,638,469,120/965,821,095.80
  6. Step 6: Final answer
    x = 1,448,731,643.70

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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.