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Finding the Fourth Proportional to 177,783,132.14, 266,674,698.22 and 177,783,132.14

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Solution

The fourth proportional to 177,783,132.14, 266,674,698.22 and 177,783,132.14 is: 266,674,698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,783,132.14 : 266,674,698.22 = 177,783,132.14 : x
  2. Step 2: Convert to fraction form
    177,783,132.14/266,674,698.22 = 177,783,132.14/x
  3. Step 3: Cross multiply
    177,783,132.14x = 266,674,698.22 × 177,783,132.14
  4. Step 4: Simplify right side
    177,783,132.14x = 47,410,263,112,040,880
  5. Step 5: Solve for x
    x = 47,410,263,112,040,880/177,783,132.14
  6. Step 6: Final answer
    x = 266,674,698.22

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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.