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Finding the Fourth Proportional to 498,636,266.40, 747,954,399.60 and 226,538,474.40

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Solution

The fourth proportional to 498,636,266.40, 747,954,399.60 and 226,538,474.40 is: 339,807,711.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,636,266.40 : 747,954,399.60 = 226,538,474.40 : x
  2. Step 2: Convert to fraction form
    498,636,266.40/747,954,399.60 = 226,538,474.40/x
  3. Step 3: Cross multiply
    498,636,266.40x = 747,954,399.60 × 226,538,474.40
  4. Step 4: Simplify right side
    498,636,266.40x = 169,440,448,606,151,968
  5. Step 5: Solve for x
    x = 169,440,448,606,151,968/498,636,266.40
  6. Step 6: Final answer
    x = 339,807,711.60

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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.