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Finding the Fourth Proportional to 18,146,114,558.20, 27,219,171,837.30 and 18,146,114,558.20

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Solution

The fourth proportional to 18,146,114,558.20, 27,219,171,837.30 and 18,146,114,558.20 is: 27,219,171,837.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,146,114,558.20 : 27,219,171,837.30 = 18,146,114,558.20 : x
  2. Step 2: Convert to fraction form
    18,146,114,558.20/27,219,171,837.30 = 18,146,114,558.20/x
  3. Step 3: Cross multiply
    18,146,114,558.20x = 27,219,171,837.30 × 18,146,114,558.20
  4. Step 4: Simplify right side
    18,146,114,558.20x = 493,922,210,338,976,956,416
  5. Step 5: Solve for x
    x = 493,922,210,338,976,956,416/18,146,114,558.20
  6. Step 6: Final answer
    x = 27,219,171,837.30

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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.