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Finding the Fourth Proportional to 12,291,879,787.92, 18,437,832,978.84 and 5,753,369,846.16

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Solution

The fourth proportional to 12,291,879,787.92, 18,437,832,978.84 and 5,753,369,846.16 is: 8,630,060,993.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,291,879,787.92 : 18,437,832,978.84 = 5,753,369,846.16 : x
  2. Step 2: Convert to fraction form
    12,291,879,787.92/18,437,832,978.84 = 5,753,369,846.16/x
  3. Step 3: Cross multiply
    12,291,879,787.92x = 18,437,832,978.84 × 5,753,369,846.16
  4. Step 4: Simplify right side
    12,291,879,787.92x = 106,079,672,288,992,460,800
  5. Step 5: Solve for x
    x = 106,079,672,288,992,460,800/12,291,879,787.92
  6. Step 6: Final answer
    x = 8,630,060,993.05

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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.