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Finding the Fourth Proportional to 409,092,674.40, 564,380,761.64 and 302,058,513.30

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Solution

The fourth proportional to 409,092,674.40, 564,380,761.64 and 302,058,513.30 is: 416,717,346.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,092,674.40 : 564,380,761.64 = 302,058,513.30 : x
  2. Step 2: Convert to fraction form
    409,092,674.40/564,380,761.64 = 302,058,513.30/x
  3. Step 3: Cross multiply
    409,092,674.40x = 564,380,761.64 × 302,058,513.30
  4. Step 4: Simplify right side
    409,092,674.40x = 170,476,013,796,100,064
  5. Step 5: Solve for x
    x = 170,476,013,796,100,064/409,092,674.40
  6. Step 6: Final answer
    x = 416,717,346.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.