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Finding the Fourth Proportional to 301,514,695.80, 422,694,530.40 and 301,514,695.80

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Solution

The fourth proportional to 301,514,695.80, 422,694,530.40 and 301,514,695.80 is: 422,694,530.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,514,695.80 : 422,694,530.40 = 301,514,695.80 : x
  2. Step 2: Convert to fraction form
    301,514,695.80/422,694,530.40 = 301,514,695.80/x
  3. Step 3: Cross multiply
    301,514,695.80x = 422,694,530.40 × 301,514,695.80
  4. Step 4: Simplify right side
    301,514,695.80x = 127,448,612,749,879,856
  5. Step 5: Solve for x
    x = 127,448,612,749,879,856/301,514,695.80
  6. Step 6: Final answer
    x = 422,694,530.40

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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.