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Finding the Fourth Proportional to 413,471,640.60, 620,207,460.90 and 413,471,640.60

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Solution

The fourth proportional to 413,471,640.60, 620,207,460.90 and 413,471,640.60 is: 620,207,460.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,471,640.60 : 620,207,460.90 = 413,471,640.60 : x
  2. Step 2: Convert to fraction form
    413,471,640.60/620,207,460.90 = 413,471,640.60/x
  3. Step 3: Cross multiply
    413,471,640.60x = 620,207,460.90 × 413,471,640.60
  4. Step 4: Simplify right side
    413,471,640.60x = 256,438,196,370,683,360
  5. Step 5: Solve for x
    x = 256,438,196,370,683,360/413,471,640.60
  6. Step 6: Final answer
    x = 620,207,460.90

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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.