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Finding the Fourth Proportional to 296,349,392.88, 408,956,859.72 and 164,187,738.72

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Solution

The fourth proportional to 296,349,392.88, 408,956,859.72 and 164,187,738.72 is: 226,576,141.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,349,392.88 : 408,956,859.72 = 164,187,738.72 : x
  2. Step 2: Convert to fraction form
    296,349,392.88/408,956,859.72 = 164,187,738.72/x
  3. Step 3: Cross multiply
    296,349,392.88x = 408,956,859.72 × 164,187,738.72
  4. Step 4: Simplify right side
    296,349,392.88x = 67,145,702,031,459,056
  5. Step 5: Solve for x
    x = 67,145,702,031,459,056/296,349,392.88
  6. Step 6: Final answer
    x = 226,576,141.69

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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.