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Finding the Fourth Proportional to 92,094,311,737.05, 138,141,467,605.58 and 92,094,311,737.05

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Solution

The fourth proportional to 92,094,311,737.05, 138,141,467,605.58 and 92,094,311,737.05 is: 138,141,467,605.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,094,311,737.05 : 138,141,467,605.58 = 92,094,311,737.05 : x
  2. Step 2: Convert to fraction form
    92,094,311,737.05/138,141,467,605.58 = 92,094,311,737.05/x
  3. Step 3: Cross multiply
    92,094,311,737.05x = 138,141,467,605.58 × 92,094,311,737.05
  4. Step 4: Simplify right side
    92,094,311,737.05x = 12,722,043,381,481,876,750,336
  5. Step 5: Solve for x
    x = 12,722,043,381,481,876,750,336/92,094,311,737.05
  6. Step 6: Final answer
    x = 138,141,467,605.58

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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.