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Finding the Fourth Proportional to 212,652,093.10, 318,978,139.65 and 180,907,350.70

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Solution

The fourth proportional to 212,652,093.10, 318,978,139.65 and 180,907,350.70 is: 271,361,026.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,652,093.10 : 318,978,139.65 = 180,907,350.70 : x
  2. Step 2: Convert to fraction form
    212,652,093.10/318,978,139.65 = 180,907,350.70/x
  3. Step 3: Cross multiply
    212,652,093.10x = 318,978,139.65 × 180,907,350.70
  4. Step 4: Simplify right side
    212,652,093.10x = 57,705,490,175,296,120
  5. Step 5: Solve for x
    x = 57,705,490,175,296,120/212,652,093.10
  6. Step 6: Final answer
    x = 271,361,026.05

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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.