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Finding the Fourth Proportional to 51,576,812.70, 77,365,219.05 and 51,576,812.70

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Solution

The fourth proportional to 51,576,812.70, 77,365,219.05 and 51,576,812.70 is: 77,365,219.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,576,812.70 : 77,365,219.05 = 51,576,812.70 : x
  2. Step 2: Convert to fraction form
    51,576,812.70/77,365,219.05 = 51,576,812.70/x
  3. Step 3: Cross multiply
    51,576,812.70x = 77,365,219.05 × 51,576,812.70
  4. Step 4: Simplify right side
    51,576,812.70x = 3,990,251,412,436,322
  5. Step 5: Solve for x
    x = 3,990,251,412,436,322/51,576,812.70
  6. Step 6: Final answer
    x = 77,365,219.05

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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.