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Finding the Fourth Proportional to 296,462,334.84, 409,118,060.84 and 164,311,863.04

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Solution

The fourth proportional to 296,462,334.84, 409,118,060.84 and 164,311,863.04 is: 226,750,392.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,462,334.84 : 409,118,060.84 = 164,311,863.04 : x
  2. Step 2: Convert to fraction form
    296,462,334.84/409,118,060.84 = 164,311,863.04/x
  3. Step 3: Cross multiply
    296,462,334.84x = 409,118,060.84 × 164,311,863.04
  4. Step 4: Simplify right side
    296,462,334.84x = 67,222,950,779,932,456
  5. Step 5: Solve for x
    x = 67,222,950,779,932,456/296,462,334.84
  6. Step 6: Final answer
    x = 226,750,392.48

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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.