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Finding the Fourth Proportional to 289,682,542.92, 399,749,740.47 and 164,243,177.58

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Solution

The fourth proportional to 289,682,542.92, 399,749,740.47 and 164,243,177.58 is: 226,648,685.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,682,542.92 : 399,749,740.47 = 164,243,177.58 : x
  2. Step 2: Convert to fraction form
    289,682,542.92/399,749,740.47 = 164,243,177.58/x
  3. Step 3: Cross multiply
    289,682,542.92x = 399,749,740.47 × 164,243,177.58
  4. Step 4: Simplify right side
    289,682,542.92x = 65,656,167,611,573,136
  5. Step 5: Solve for x
    x = 65,656,167,611,573,136/289,682,542.92
  6. Step 6: Final answer
    x = 226,648,685.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.