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Finding the Fourth Proportional to 3,780,810,105.10, 5,671,215,157.65 and 3,780,810,105.10

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Solution

The fourth proportional to 3,780,810,105.10, 5,671,215,157.65 and 3,780,810,105.10 is: 5,671,215,157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780,810,105.10 : 5,671,215,157.65 = 3,780,810,105.10 : x
  2. Step 2: Convert to fraction form
    3,780,810,105.10/5,671,215,157.65 = 3,780,810,105.10/x
  3. Step 3: Cross multiply
    3,780,810,105.10x = 5,671,215,157.65 × 3,780,810,105.10
  4. Step 4: Simplify right side
    3,780,810,105.10x = 21,441,787,576,239,407,104
  5. Step 5: Solve for x
    x = 21,441,787,576,239,407,104/3,780,810,105.10
  6. Step 6: Final answer
    x = 5,671,215,157.65

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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.