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Finding the Fourth Proportional to 512,205,593.66, 768,256,683.74 and 347,268,130.80

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Solution

The fourth proportional to 512,205,593.66, 768,256,683.74 and 347,268,130.80 is: 520,867,139.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,205,593.66 : 768,256,683.74 = 347,268,130.80 : x
  2. Step 2: Convert to fraction form
    512,205,593.66/768,256,683.74 = 347,268,130.80/x
  3. Step 3: Cross multiply
    512,205,593.66x = 768,256,683.74 × 347,268,130.80
  4. Step 4: Simplify right side
    512,205,593.66x = 266,791,062,536,996,576
  5. Step 5: Solve for x
    x = 266,791,062,536,996,576/512,205,593.66
  6. Step 6: Final answer
    x = 520,867,139.76

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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.