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Finding the Fourth Proportional to 162,413,906.40, 243,620,859.60 and 97,843,824.90

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Solution

The fourth proportional to 162,413,906.40, 243,620,859.60 and 97,843,824.90 is: 146,765,737.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,413,906.40 : 243,620,859.60 = 97,843,824.90 : x
  2. Step 2: Convert to fraction form
    162,413,906.40/243,620,859.60 = 97,843,824.90/x
  3. Step 3: Cross multiply
    162,413,906.40x = 243,620,859.60 × 97,843,824.90
  4. Step 4: Simplify right side
    162,413,906.40x = 23,836,796,728,689,884
  5. Step 5: Solve for x
    x = 23,836,796,728,689,884/162,413,906.40
  6. Step 6: Final answer
    x = 146,765,737.35

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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.