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Finding the Fourth Proportional to 301,514,722.80, 422,694,568.20 and 301,514,722.80

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Solution

The fourth proportional to 301,514,722.80, 422,694,568.20 and 301,514,722.80 is: 422,694,568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,514,722.80 : 422,694,568.20 = 301,514,722.80 : x
  2. Step 2: Convert to fraction form
    301,514,722.80/422,694,568.20 = 301,514,722.80/x
  3. Step 3: Cross multiply
    301,514,722.80x = 422,694,568.20 × 301,514,722.80
  4. Step 4: Simplify right side
    301,514,722.80x = 127,448,635,559,888,704
  5. Step 5: Solve for x
    x = 127,448,635,559,888,704/301,514,722.80
  6. Step 6: Final answer
    x = 422,694,568.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.