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Finding the Fourth Proportional to 21,787,277,413.80, 32,680,916,120.70 and 21,787,277,413.80

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Solution

The fourth proportional to 21,787,277,413.80, 32,680,916,120.70 and 21,787,277,413.80 is: 32,680,916,120.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,787,277,413.80 : 32,680,916,120.70 = 21,787,277,413.80 : x
  2. Step 2: Convert to fraction form
    21,787,277,413.80/32,680,916,120.70 = 21,787,277,413.80/x
  3. Step 3: Cross multiply
    21,787,277,413.80x = 32,680,916,120.70 × 21,787,277,413.80
  4. Step 4: Simplify right side
    21,787,277,413.80x = 712,028,185,658,819,477,504
  5. Step 5: Solve for x
    x = 712,028,185,658,819,477,504/21,787,277,413.80
  6. Step 6: Final answer
    x = 32,680,916,120.70

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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.