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Finding the Fourth Proportional to 3,482,978,771.20, 4,889,945,230.40 and 3,482,978,771.20

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Solution

The fourth proportional to 3,482,978,771.20, 4,889,945,230.40 and 3,482,978,771.20 is: 4,889,945,230.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482,978,771.20 : 4,889,945,230.40 = 3,482,978,771.20 : x
  2. Step 2: Convert to fraction form
    3,482,978,771.20/4,889,945,230.40 = 3,482,978,771.20/x
  3. Step 3: Cross multiply
    3,482,978,771.20x = 4,889,945,230.40 × 3,482,978,771.20
  4. Step 4: Simplify right side
    3,482,978,771.20x = 17,031,575,429,813,891,072
  5. Step 5: Solve for x
    x = 17,031,575,429,813,891,072/3,482,978,771.20
  6. Step 6: Final answer
    x = 4,889,945,230.40

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.