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Finding the Fourth Proportional to 340,858,418.20, 511,287,627.30 and 340,858,418.20

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Solution

The fourth proportional to 340,858,418.20, 511,287,627.30 and 340,858,418.20 is: 511,287,627.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,858,418.20 : 511,287,627.30 = 340,858,418.20 : x
  2. Step 2: Convert to fraction form
    340,858,418.20/511,287,627.30 = 340,858,418.20/x
  3. Step 3: Cross multiply
    340,858,418.20x = 511,287,627.30 × 340,858,418.20
  4. Step 4: Simplify right side
    340,858,418.20x = 174,276,691,886,709,120
  5. Step 5: Solve for x
    x = 174,276,691,886,709,120/340,858,418.20
  6. Step 6: Final answer
    x = 511,287,627.30

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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.