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Finding the Fourth Proportional to 341,993,414.60, 512,990,121.90 and 307,356,000.20

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Solution

The fourth proportional to 341,993,414.60, 512,990,121.90 and 307,356,000.20 is: 461,034,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,993,414.60 : 512,990,121.90 = 307,356,000.20 : x
  2. Step 2: Convert to fraction form
    341,993,414.60/512,990,121.90 = 307,356,000.20/x
  3. Step 3: Cross multiply
    341,993,414.60x = 512,990,121.90 × 307,356,000.20
  4. Step 4: Simplify right side
    341,993,414.60x = 157,670,592,009,294,400
  5. Step 5: Solve for x
    x = 157,670,592,009,294,400/341,993,414.60
  6. Step 6: Final answer
    x = 461,034,000.30

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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.