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Finding the Fourth Proportional to 296,864,974.86, 409,659,785.73 and 164,704,564.86

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Solution

The fourth proportional to 296,864,974.86, 409,659,785.73 and 164,704,564.86 is: 227,284,598.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,864,974.86 : 409,659,785.73 = 164,704,564.86 : x
  2. Step 2: Convert to fraction form
    296,864,974.86/409,659,785.73 = 164,704,564.86/x
  3. Step 3: Cross multiply
    296,864,974.86x = 409,659,785.73 × 164,704,564.86
  4. Step 4: Simplify right side
    296,864,974.86x = 67,472,836,749,300,496
  5. Step 5: Solve for x
    x = 67,472,836,749,300,496/296,864,974.86
  6. Step 6: Final answer
    x = 227,284,598.94

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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.