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Finding the Fourth Proportional to 517,428,898.73, 776,143,348.09 and 517,428,898.73

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Solution

The fourth proportional to 517,428,898.73, 776,143,348.09 and 517,428,898.73 is: 776,143,348.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,428,898.73 : 776,143,348.09 = 517,428,898.73 : x
  2. Step 2: Convert to fraction form
    517,428,898.73/776,143,348.09 = 517,428,898.73/x
  3. Step 3: Cross multiply
    517,428,898.73x = 776,143,348.09 × 517,428,898.73
  4. Step 4: Simplify right side
    517,428,898.73x = 401,598,997,853,649,472
  5. Step 5: Solve for x
    x = 401,598,997,853,649,472/517,428,898.73
  6. Step 6: Final answer
    x = 776,143,348.09

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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.