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Finding the Fourth Proportional to 409,552,446.30, 614,328,669.45 and 409,552,446.30

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Solution

The fourth proportional to 409,552,446.30, 614,328,669.45 and 409,552,446.30 is: 614,328,669.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,552,446.30 : 614,328,669.45 = 409,552,446.30 : x
  2. Step 2: Convert to fraction form
    409,552,446.30/614,328,669.45 = 409,552,446.30/x
  3. Step 3: Cross multiply
    409,552,446.30x = 614,328,669.45 × 409,552,446.30
  4. Step 4: Simplify right side
    409,552,446.30x = 251,599,809,405,471,616
  5. Step 5: Solve for x
    x = 251,599,809,405,471,616/409,552,446.30
  6. Step 6: Final answer
    x = 614,328,669.45

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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.