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Finding the Fourth Proportional to 10,081,017,067.80, 15,092,469,065.02 and 10,081,017,067.80

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Solution

The fourth proportional to 10,081,017,067.80, 15,092,469,065.02 and 10,081,017,067.80 is: 15,092,469,065.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081,017,067.80 : 15,092,469,065.02 = 10,081,017,067.80 : x
  2. Step 2: Convert to fraction form
    10,081,017,067.80/15,092,469,065.02 = 10,081,017,067.80/x
  3. Step 3: Cross multiply
    10,081,017,067.80x = 15,092,469,065.02 × 10,081,017,067.80
  4. Step 4: Simplify right side
    10,081,017,067.80x = 152,147,438,239,710,117,888
  5. Step 5: Solve for x
    x = 152,147,438,239,710,117,888/10,081,017,067.80
  6. Step 6: Final answer
    x = 15,092,469,065.02

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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.