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Finding the Fourth Proportional to 414,073,693.80, 620,583,036.30 and 220,078,045.80

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Solution

The fourth proportional to 414,073,693.80, 620,583,036.30 and 220,078,045.80 is: 329,836,702.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,073,693.80 : 620,583,036.30 = 220,078,045.80 : x
  2. Step 2: Convert to fraction form
    414,073,693.80/620,583,036.30 = 220,078,045.80/x
  3. Step 3: Cross multiply
    414,073,693.80x = 620,583,036.30 × 220,078,045.80
  4. Step 4: Simplify right side
    414,073,693.80x = 136,576,701,885,534,464
  5. Step 5: Solve for x
    x = 136,576,701,885,534,464/414,073,693.80
  6. Step 6: Final answer
    x = 329,836,702.82

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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.