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Finding the Fourth Proportional to 296,990,215.60, 409,840,332.60 and 164,823,536.20

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Solution

The fourth proportional to 296,990,215.60, 409,840,332.60 and 164,823,536.20 is: 227,453,058.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,990,215.60 : 409,840,332.60 = 164,823,536.20 : x
  2. Step 2: Convert to fraction form
    296,990,215.60/409,840,332.60 = 164,823,536.20/x
  3. Step 3: Cross multiply
    296,990,215.60x = 409,840,332.60 × 164,823,536.20
  4. Step 4: Simplify right side
    296,990,215.60x = 67,551,332,896,516,136
  5. Step 5: Solve for x
    x = 67,551,332,896,516,136/296,990,215.60
  6. Step 6: Final answer
    x = 227,453,058.55

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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.