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Finding the Fourth Proportional to 29,781,514.40, 41,609,089.60 and 29,781,514.40

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Solution

The fourth proportional to 29,781,514.40, 41,609,089.60 and 29,781,514.40 is: 41,609,089.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,781,514.40 : 41,609,089.60 = 29,781,514.40 : x
  2. Step 2: Convert to fraction form
    29,781,514.40/41,609,089.60 = 29,781,514.40/x
  3. Step 3: Cross multiply
    29,781,514.40x = 41,609,089.60 × 29,781,514.40
  4. Step 4: Simplify right side
    29,781,514.40x = 1,239,181,701,093,290.25
  5. Step 5: Solve for x
    x = 1,239,181,701,093,290.25/29,781,514.40
  6. Step 6: Final answer
    x = 41,609,089.60

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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.