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Finding the Fourth Proportional to 18,162,016,200.45, 27,243,024,300.68 and 18,162,016,200.45

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Solution

The fourth proportional to 18,162,016,200.45, 27,243,024,300.68 and 18,162,016,200.45 is: 27,243,024,300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,162,016,200.45 : 27,243,024,300.68 = 18,162,016,200.45 : x
  2. Step 2: Convert to fraction form
    18,162,016,200.45/27,243,024,300.68 = 18,162,016,200.45/x
  3. Step 3: Cross multiply
    18,162,016,200.45x = 27,243,024,300.68 × 18,162,016,200.45
  4. Step 4: Simplify right side
    18,162,016,200.45x = 494,788,248,698,112,376,832
  5. Step 5: Solve for x
    x = 494,788,248,698,112,376,832/18,162,016,200.45
  6. Step 6: Final answer
    x = 27,243,024,300.68

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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.