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Finding the Fourth Proportional to 71,873,676,006.80, 107,810,514,010.20 and 71,873,676,006.80

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Solution

The fourth proportional to 71,873,676,006.80, 107,810,514,010.20 and 71,873,676,006.80 is: 107,810,514,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,873,676,006.80 : 107,810,514,010.20 = 71,873,676,006.80 : x
  2. Step 2: Convert to fraction form
    71,873,676,006.80/107,810,514,010.20 = 71,873,676,006.80/x
  3. Step 3: Cross multiply
    71,873,676,006.80x = 107,810,514,010.20 × 71,873,676,006.80
  4. Step 4: Simplify right side
    71,873,676,006.80x = 7,748,737,954,095,687,532,544
  5. Step 5: Solve for x
    x = 7,748,737,954,095,687,532,544/71,873,676,006.80
  6. Step 6: Final answer
    x = 107,810,514,010.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.