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Finding the Fourth Proportional to 3,400,546,514.70, 5,100,819,772.05 and 3,400,546,514.70

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Solution

The fourth proportional to 3,400,546,514.70, 5,100,819,772.05 and 3,400,546,514.70 is: 5,100,819,772.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400,546,514.70 : 5,100,819,772.05 = 3,400,546,514.70 : x
  2. Step 2: Convert to fraction form
    3,400,546,514.70/5,100,819,772.05 = 3,400,546,514.70/x
  3. Step 3: Cross multiply
    3,400,546,514.70x = 5,100,819,772.05 × 3,400,546,514.70
  4. Step 4: Simplify right side
    3,400,546,514.70x = 17,345,574,897,957,476,352
  5. Step 5: Solve for x
    x = 17,345,574,897,957,476,352/3,400,546,514.70
  6. Step 6: Final answer
    x = 5,100,819,772.05

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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.