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Finding the Fourth Proportional to 3,882,607,514.70, 5,823,911,272.05 and 3,882,607,514.70

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Solution

The fourth proportional to 3,882,607,514.70, 5,823,911,272.05 and 3,882,607,514.70 is: 5,823,911,272.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882,607,514.70 : 5,823,911,272.05 = 3,882,607,514.70 : x
  2. Step 2: Convert to fraction form
    3,882,607,514.70/5,823,911,272.05 = 3,882,607,514.70/x
  3. Step 3: Cross multiply
    3,882,607,514.70x = 5,823,911,272.05 × 3,882,607,514.70
  4. Step 4: Simplify right side
    3,882,607,514.70x = 22,611,961,669,807,366,144
  5. Step 5: Solve for x
    x = 22,611,961,669,807,366,144/3,882,607,514.70
  6. Step 6: Final answer
    x = 5,823,911,272.05

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Half scale
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Double scale
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Similar ratio
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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.