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Finding the Fourth Proportional to 383,185,213.40, 574,777,820.10 and 383,185,213.40

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Solution

The fourth proportional to 383,185,213.40, 574,777,820.10 and 383,185,213.40 is: 574,777,820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,185,213.40 : 574,777,820.10 = 383,185,213.40 : x
  2. Step 2: Convert to fraction form
    383,185,213.40/574,777,820.10 = 383,185,213.40/x
  3. Step 3: Cross multiply
    383,185,213.40x = 574,777,820.10 × 383,185,213.40
  4. Step 4: Simplify right side
    383,185,213.40x = 220,246,361,652,605,312
  5. Step 5: Solve for x
    x = 220,246,361,652,605,312/383,185,213.40
  6. Step 6: Final answer
    x = 574,777,820.10

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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.