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Finding the Fourth Proportional to 301,514,715.30, 422,694,557.70 and 301,514,715.30

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Solution

The fourth proportional to 301,514,715.30, 422,694,557.70 and 301,514,715.30 is: 422,694,557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,514,715.30 : 422,694,557.70 = 301,514,715.30 : x
  2. Step 2: Convert to fraction form
    301,514,715.30/422,694,557.70 = 301,514,715.30/x
  3. Step 3: Cross multiply
    301,514,715.30x = 422,694,557.70 × 301,514,715.30
  4. Step 4: Simplify right side
    301,514,715.30x = 127,448,629,223,774,928
  5. Step 5: Solve for x
    x = 127,448,629,223,774,928/301,514,715.30
  6. Step 6: Final answer
    x = 422,694,557.70

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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.