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Finding the Fourth Proportional to 965,398,834.80, 1,448,854,079.40 and 447,893,398.80

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Solution

The fourth proportional to 965,398,834.80, 1,448,854,079.40 and 447,893,398.80 is: 672,190,761.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,398,834.80 : 1,448,854,079.40 = 447,893,398.80 : x
  2. Step 2: Convert to fraction form
    965,398,834.80/1,448,854,079.40 = 447,893,398.80/x
  3. Step 3: Cross multiply
    965,398,834.80x = 1,448,854,079.40 × 447,893,398.80
  4. Step 4: Simplify right side
    965,398,834.80x = 648,932,177,987,711,104
  5. Step 5: Solve for x
    x = 648,932,177,987,711,104/965,398,834.80
  6. Step 6: Final answer
    x = 672,190,761.57

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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.