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Finding the Fourth Proportional to 880,066,296,413.45, 1,320,099,444,620.20 and 880,066,296,413.45

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Solution

The fourth proportional to 880,066,296,413.45, 1,320,099,444,620.20 and 880,066,296,413.45 is: 1,320,099,444,620.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,066,296,413.45 : 1,320,099,444,620.20 = 880,066,296,413.45 : x
  2. Step 2: Convert to fraction form
    880,066,296,413.45/1,320,099,444,620.20 = 880,066,296,413.45/x
  3. Step 3: Cross multiply
    880,066,296,413.45x = 1,320,099,444,620.20 × 880,066,296,413.45
  4. Step 4: Simplify right side
    880,066,296,413.45x = 1,161,775,029,124,351,553,175,552
  5. Step 5: Solve for x
    x = 1,161,775,029,124,351,553,175,552/880,066,296,413.45
  6. Step 6: Final answer
    x = 1,320,099,444,620.20

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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.