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Finding the Fourth Proportional to 412,900,336.64, 569,798,081.76 and 227,257,366.48

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Solution

The fourth proportional to 412,900,336.64, 569,798,081.76 and 227,257,366.48 is: 313,612,753.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,900,336.64 : 569,798,081.76 = 227,257,366.48 : x
  2. Step 2: Convert to fraction form
    412,900,336.64/569,798,081.76 = 227,257,366.48/x
  3. Step 3: Cross multiply
    412,900,336.64x = 569,798,081.76 × 227,257,366.48
  4. Step 4: Simplify right side
    412,900,336.64x = 129,490,811,486,133,312
  5. Step 5: Solve for x
    x = 129,490,811,486,133,312/412,900,336.64
  6. Step 6: Final answer
    x = 313,612,753.48

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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.