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Finding the Fourth Proportional to 498,636,200.40, 747,954,300.60 and 226,538,408.40

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Solution

The fourth proportional to 498,636,200.40, 747,954,300.60 and 226,538,408.40 is: 339,807,612.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,636,200.40 : 747,954,300.60 = 226,538,408.40 : x
  2. Step 2: Convert to fraction form
    498,636,200.40/747,954,300.60 = 226,538,408.40/x
  3. Step 3: Cross multiply
    498,636,200.40x = 747,954,300.60 × 226,538,408.40
  4. Step 4: Simplify right side
    498,636,200.40x = 169,440,376,813,859,168
  5. Step 5: Solve for x
    x = 169,440,376,813,859,168/498,636,200.40
  6. Step 6: Final answer
    x = 339,807,612.60

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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.