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Finding the Fourth Proportional to 446,229,213.70, 669,343,820.55 and 446,229,213.70

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Solution

The fourth proportional to 446,229,213.70, 669,343,820.55 and 446,229,213.70 is: 669,343,820.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,229,213.70 : 669,343,820.55 = 446,229,213.70 : x
  2. Step 2: Convert to fraction form
    446,229,213.70/669,343,820.55 = 446,229,213.70/x
  3. Step 3: Cross multiply
    446,229,213.70x = 669,343,820.55 × 446,229,213.70
  4. Step 4: Simplify right side
    446,229,213.70x = 298,680,766,738,980,352
  5. Step 5: Solve for x
    x = 298,680,766,738,980,352/446,229,213.70
  6. Step 6: Final answer
    x = 669,343,820.55

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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.