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Finding the Fourth Proportional to 18,406,340,165.80, 27,609,510,248.70 and 18,406,340,165.80

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Solution

The fourth proportional to 18,406,340,165.80, 27,609,510,248.70 and 18,406,340,165.80 is: 27,609,510,248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,406,340,165.80 : 27,609,510,248.70 = 18,406,340,165.80 : x
  2. Step 2: Convert to fraction form
    18,406,340,165.80/27,609,510,248.70 = 18,406,340,165.80/x
  3. Step 3: Cross multiply
    18,406,340,165.80x = 27,609,510,248.70 × 18,406,340,165.80
  4. Step 4: Simplify right side
    18,406,340,165.80x = 508,190,037,448,713,568,256
  5. Step 5: Solve for x
    x = 508,190,037,448,713,568,256/18,406,340,165.80
  6. Step 6: Final answer
    x = 27,609,510,248.70

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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.