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Finding the Fourth Proportional to 12,108,009,969.30, 18,162,014,953.95 and 12,108,009,969.30

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Solution

The fourth proportional to 12,108,009,969.30, 18,162,014,953.95 and 12,108,009,969.30 is: 18,162,014,953.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,108,009,969.30 : 18,162,014,953.95 = 12,108,009,969.30 : x
  2. Step 2: Convert to fraction form
    12,108,009,969.30/18,162,014,953.95 = 12,108,009,969.30/x
  3. Step 3: Cross multiply
    12,108,009,969.30x = 18,162,014,953.95 × 12,108,009,969.30
  4. Step 4: Simplify right side
    12,108,009,969.30x = 219,905,858,125,002,276,864
  5. Step 5: Solve for x
    x = 219,905,858,125,002,276,864/12,108,009,969.30
  6. Step 6: Final answer
    x = 18,162,014,953.95

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Double scale
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1.5x scale

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.