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Finding the Fourth Proportional to 49,171,047.70, 68,705,097.50 and 49,171,047.70

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Solution

The fourth proportional to 49,171,047.70, 68,705,097.50 and 49,171,047.70 is: 68,705,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,171,047.70 : 68,705,097.50 = 49,171,047.70 : x
  2. Step 2: Convert to fraction form
    49,171,047.70/68,705,097.50 = 49,171,047.70/x
  3. Step 3: Cross multiply
    49,171,047.70x = 68,705,097.50 × 49,171,047.70
  4. Step 4: Simplify right side
    49,171,047.70x = 3,378,301,626,405,651
  5. Step 5: Solve for x
    x = 3,378,301,626,405,651/49,171,047.70
  6. Step 6: Final answer
    x = 68,705,097.50

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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.