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Finding the Fourth Proportional to 504,543,365.10, 756,815,047.65 and 504,543,365.10

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Solution

The fourth proportional to 504,543,365.10, 756,815,047.65 and 504,543,365.10 is: 756,815,047.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,543,365.10 : 756,815,047.65 = 504,543,365.10 : x
  2. Step 2: Convert to fraction form
    504,543,365.10/756,815,047.65 = 504,543,365.10/x
  3. Step 3: Cross multiply
    504,543,365.10x = 756,815,047.65 × 504,543,365.10
  4. Step 4: Simplify right side
    504,543,365.10x = 381,846,010,899,647,872
  5. Step 5: Solve for x
    x = 381,846,010,899,647,872/504,543,365.10
  6. Step 6: Final answer
    x = 756,815,047.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.