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Finding the Fourth Proportional to 340,708,218.30, 511,062,327.45 and 340,708,218.30

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Solution

The fourth proportional to 340,708,218.30, 511,062,327.45 and 340,708,218.30 is: 511,062,327.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,708,218.30 : 511,062,327.45 = 340,708,218.30 : x
  2. Step 2: Convert to fraction form
    340,708,218.30/511,062,327.45 = 340,708,218.30/x
  3. Step 3: Cross multiply
    340,708,218.30x = 511,062,327.45 × 340,708,218.30
  4. Step 4: Simplify right side
    340,708,218.30x = 174,123,135,025,740,672
  5. Step 5: Solve for x
    x = 174,123,135,025,740,672/340,708,218.30
  6. Step 6: Final answer
    x = 511,062,327.45

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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.