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Finding the Fourth Proportional to 177,783,139.14, 266,674,708.72 and 177,783,139.14

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Solution

The fourth proportional to 177,783,139.14, 266,674,708.72 and 177,783,139.14 is: 266,674,708.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,783,139.14 : 266,674,708.72 = 177,783,139.14 : x
  2. Step 2: Convert to fraction form
    177,783,139.14/266,674,708.72 = 177,783,139.14/x
  3. Step 3: Cross multiply
    177,783,139.14x = 266,674,708.72 × 177,783,139.14
  4. Step 4: Simplify right side
    177,783,139.14x = 47,410,266,845,486,728
  5. Step 5: Solve for x
    x = 47,410,266,845,486,728/177,783,139.14
  6. Step 6: Final answer
    x = 266,674,708.72

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Why These Related Problems?

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