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Finding the Fourth Proportional to 517,108,526.18, 775,662,789.26 and 517,108,526.18

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Solution

The fourth proportional to 517,108,526.18, 775,662,789.26 and 517,108,526.18 is: 775,662,789.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,108,526.18 : 775,662,789.26 = 517,108,526.18 : x
  2. Step 2: Convert to fraction form
    517,108,526.18/775,662,789.26 = 517,108,526.18/x
  3. Step 3: Cross multiply
    517,108,526.18x = 775,662,789.26 × 517,108,526.18
  4. Step 4: Simplify right side
    517,108,526.18x = 401,101,841,764,321,024
  5. Step 5: Solve for x
    x = 401,101,841,764,321,024/517,108,526.18
  6. Step 6: Final answer
    x = 775,662,789.26

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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.