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Finding the Fourth Proportional to 413,471,620.07, 620,207,430.12 and 413,471,620.07

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Solution

The fourth proportional to 413,471,620.07, 620,207,430.12 and 413,471,620.07 is: 620,207,430.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,471,620.07 : 620,207,430.12 = 413,471,620.07 : x
  2. Step 2: Convert to fraction form
    413,471,620.07/620,207,430.12 = 413,471,620.07/x
  3. Step 3: Cross multiply
    413,471,620.07x = 620,207,430.12 × 413,471,620.07
  4. Step 4: Simplify right side
    413,471,620.07x = 256,438,170,910,392,480
  5. Step 5: Solve for x
    x = 256,438,170,910,392,480/413,471,620.07
  6. Step 6: Final answer
    x = 620,207,430.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.