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Finding the Fourth Proportional to 542,883,280.40, 814,356,413.40 and 154,734,520.40

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Solution

The fourth proportional to 542,883,280.40, 814,356,413.40 and 154,734,520.40 is: 232,110,756.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,883,280.40 : 814,356,413.40 = 154,734,520.40 : x
  2. Step 2: Convert to fraction form
    542,883,280.40/814,356,413.40 = 154,734,520.40/x
  3. Step 3: Cross multiply
    542,883,280.40x = 814,356,413.40 × 154,734,520.40
  4. Step 4: Simplify right side
    542,883,280.40x = 126,009,049,062,113,136
  5. Step 5: Solve for x
    x = 126,009,049,062,113,136/542,883,280.40
  6. Step 6: Final answer
    x = 232,110,756.79

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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.