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Finding the Fourth Proportional to 397,368,469.71, 596,007,300.38 and 106,258,293.92

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Solution

The fourth proportional to 397,368,469.71, 596,007,300.38 and 106,258,293.92 is: 159,375,299.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,368,469.71 : 596,007,300.38 = 106,258,293.92 : x
  2. Step 2: Convert to fraction form
    397,368,469.71/596,007,300.38 = 106,258,293.92/x
  3. Step 3: Cross multiply
    397,368,469.71x = 596,007,300.38 × 106,258,293.92
  4. Step 4: Simplify right side
    397,368,469.71x = 63,330,718,898,732,440
  5. Step 5: Solve for x
    x = 63,330,718,898,732,440/397,368,469.71
  6. Step 6: Final answer
    x = 159,375,299.57

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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.