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Finding the Fourth Proportional to 303,375,738.66, 418,655,538.81 and 164,143,445.46

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Solution

The fourth proportional to 303,375,738.66, 418,655,538.81 and 164,143,445.46 is: 226,516,342.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,375,738.66 : 418,655,538.81 = 164,143,445.46 : x
  2. Step 2: Convert to fraction form
    303,375,738.66/418,655,538.81 = 164,143,445.46/x
  3. Step 3: Cross multiply
    303,375,738.66x = 418,655,538.81 × 164,143,445.46
  4. Step 4: Simplify right side
    303,375,738.66x = 68,719,562,601,186,152
  5. Step 5: Solve for x
    x = 68,719,562,601,186,152/303,375,738.66
  6. Step 6: Final answer
    x = 226,516,342.09

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Why These Related Problems?

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