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Finding the Fourth Proportional to 99,299,997.60, 148,949,996.40 and 27,496,413.60

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Solution

The fourth proportional to 99,299,997.60, 148,949,996.40 and 27,496,413.60 is: 41,244,620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,299,997.60 : 148,949,996.40 = 27,496,413.60 : x
  2. Step 2: Convert to fraction form
    99,299,997.60/148,949,996.40 = 27,496,413.60/x
  3. Step 3: Cross multiply
    99,299,997.60x = 148,949,996.40 × 27,496,413.60
  4. Step 4: Simplify right side
    99,299,997.60x = 4,095,590,706,732,911.50
  5. Step 5: Solve for x
    x = 4,095,590,706,732,911.50/99,299,997.60
  6. Step 6: Final answer
    x = 41,244,620.40

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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.