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Finding the Fourth Proportional to 75,558,923.20, 105,984,046.40 and 75,558,923.20

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Solution

The fourth proportional to 75,558,923.20, 105,984,046.40 and 75,558,923.20 is: 105,984,046.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,558,923.20 : 105,984,046.40 = 75,558,923.20 : x
  2. Step 2: Convert to fraction form
    75,558,923.20/105,984,046.40 = 75,558,923.20/x
  3. Step 3: Cross multiply
    75,558,923.20x = 105,984,046.40 × 75,558,923.20
  4. Step 4: Simplify right side
    75,558,923.20x = 8,008,040,422,362,837
  5. Step 5: Solve for x
    x = 8,008,040,422,362,837/75,558,923.20
  6. Step 6: Final answer
    x = 105,984,046.40

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Why These Related Problems?

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