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Finding the Fourth Proportional to 538,194,998.10, 753,983,180.70 and 538,194,998.10

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Solution

The fourth proportional to 538,194,998.10, 753,983,180.70 and 538,194,998.10 is: 753,983,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,194,998.10 : 753,983,180.70 = 538,194,998.10 : x
  2. Step 2: Convert to fraction form
    538,194,998.10/753,983,180.70 = 538,194,998.10/x
  3. Step 3: Cross multiply
    538,194,998.10x = 753,983,180.70 × 538,194,998.10
  4. Step 4: Simplify right side
    538,194,998.10x = 405,789,976,504,268,480
  5. Step 5: Solve for x
    x = 405,789,976,504,268,480/538,194,998.10
  6. Step 6: Final answer
    x = 753,983,180.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.