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Finding the Fourth Proportional to 201,906,908.60, 302,860,362.90 and 144,576,015.80

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Solution

The fourth proportional to 201,906,908.60, 302,860,362.90 and 144,576,015.80 is: 216,864,023.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,906,908.60 : 302,860,362.90 = 144,576,015.80 : x
  2. Step 2: Convert to fraction form
    201,906,908.60/302,860,362.90 = 144,576,015.80/x
  3. Step 3: Cross multiply
    201,906,908.60x = 302,860,362.90 × 144,576,015.80
  4. Step 4: Simplify right side
    201,906,908.60x = 43,786,344,611,824,136
  5. Step 5: Solve for x
    x = 43,786,344,611,824,136/201,906,908.60
  6. Step 6: Final answer
    x = 216,864,023.70

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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.