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Finding the Fourth Proportional to 340,993,608.20, 511,490,412.30 and 340,993,608.20

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Solution

The fourth proportional to 340,993,608.20, 511,490,412.30 and 340,993,608.20 is: 511,490,412.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,993,608.20 : 511,490,412.30 = 340,993,608.20 : x
  2. Step 2: Convert to fraction form
    340,993,608.20/511,490,412.30 = 340,993,608.20/x
  3. Step 3: Cross multiply
    340,993,608.20x = 511,490,412.30 × 340,993,608.20
  4. Step 4: Simplify right side
    340,993,608.20x = 174,414,961,249,882,656
  5. Step 5: Solve for x
    x = 174,414,961,249,882,656/340,993,608.20
  6. Step 6: Final answer
    x = 511,490,412.30

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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.