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Finding the Fourth Proportional to 1,189,309,780.80, 1,783,964,671.20 and 412,874,479.80

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Solution

The fourth proportional to 1,189,309,780.80, 1,783,964,671.20 and 412,874,479.80 is: 619,311,719.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,309,780.80 : 1,783,964,671.20 = 412,874,479.80 : x
  2. Step 2: Convert to fraction form
    1,189,309,780.80/1,783,964,671.20 = 412,874,479.80/x
  3. Step 3: Cross multiply
    1,189,309,780.80x = 1,783,964,671.20 × 412,874,479.80
  4. Step 4: Simplify right side
    1,189,309,780.80x = 736,553,485,603,278,080
  5. Step 5: Solve for x
    x = 736,553,485,603,278,080/1,189,309,780.80
  6. Step 6: Final answer
    x = 619,311,719.70

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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.