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Finding the Fourth Proportional to 68,382,942.30, 102,574,413.45 and 20,513,886.30

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Solution

The fourth proportional to 68,382,942.30, 102,574,413.45 and 20,513,886.30 is: 30,770,829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,382,942.30 : 102,574,413.45 = 20,513,886.30 : x
  2. Step 2: Convert to fraction form
    68,382,942.30/102,574,413.45 = 20,513,886.30/x
  3. Step 3: Cross multiply
    68,382,942.30x = 102,574,413.45 × 20,513,886.30
  4. Step 4: Simplify right side
    68,382,942.30x = 2,104,199,854,802,490.75
  5. Step 5: Solve for x
    x = 2,104,199,854,802,490.75/68,382,942.30
  6. Step 6: Final answer
    x = 30,770,829.45

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Why These Related Problems?

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