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Finding the Fourth Proportional to 408,859,774.40, 613,289,661.60 and 368,045,105.60

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Solution

The fourth proportional to 408,859,774.40, 613,289,661.60 and 368,045,105.60 is: 552,067,658.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,859,774.40 : 613,289,661.60 = 368,045,105.60 : x
  2. Step 2: Convert to fraction form
    408,859,774.40/613,289,661.60 = 368,045,105.60/x
  3. Step 3: Cross multiply
    408,859,774.40x = 613,289,661.60 × 368,045,105.60
  4. Step 4: Simplify right side
    408,859,774.40x = 225,718,258,266,960,288
  5. Step 5: Solve for x
    x = 225,718,258,266,960,288/408,859,774.40
  6. Step 6: Final answer
    x = 552,067,658.40

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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.