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Finding the Fourth Proportional to 1,005,582,942.20, 1,508,374,413.30 and 1,005,582,942.20

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Solution

The fourth proportional to 1,005,582,942.20, 1,508,374,413.30 and 1,005,582,942.20 is: 1,508,374,413.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,582,942.20 : 1,508,374,413.30 = 1,005,582,942.20 : x
  2. Step 2: Convert to fraction form
    1,005,582,942.20/1,508,374,413.30 = 1,005,582,942.20/x
  3. Step 3: Cross multiply
    1,005,582,942.20x = 1,508,374,413.30 × 1,005,582,942.20
  4. Step 4: Simplify right side
    1,005,582,942.20x = 1,516,795,580,465,412,864
  5. Step 5: Solve for x
    x = 1,516,795,580,465,412,864/1,005,582,942.20
  6. Step 6: Final answer
    x = 1,508,374,413.30

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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.