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Finding the Fourth Proportional to 2,984,401,642.20, 4,467,993,119.10 and 2,984,401,642.20

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Solution

The fourth proportional to 2,984,401,642.20, 4,467,993,119.10 and 2,984,401,642.20 is: 4,467,993,119.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984,401,642.20 : 4,467,993,119.10 = 2,984,401,642.20 : x
  2. Step 2: Convert to fraction form
    2,984,401,642.20/4,467,993,119.10 = 2,984,401,642.20/x
  3. Step 3: Cross multiply
    2,984,401,642.20x = 4,467,993,119.10 × 2,984,401,642.20
  4. Step 4: Simplify right side
    2,984,401,642.20x = 13,334,286,001,980,340,224
  5. Step 5: Solve for x
    x = 13,334,286,001,980,340,224/2,984,401,642.20
  6. Step 6: Final answer
    x = 4,467,993,119.10

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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.