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Finding the Fourth Proportional to 223,633,498.77, 308,610,543.24 and 130,829,728.41

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Solution

The fourth proportional to 223,633,498.77, 308,610,543.24 and 130,829,728.41 is: 180,542,869.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,633,498.77 : 308,610,543.24 = 130,829,728.41 : x
  2. Step 2: Convert to fraction form
    223,633,498.77/308,610,543.24 = 130,829,728.41/x
  3. Step 3: Cross multiply
    223,633,498.77x = 308,610,543.24 × 130,829,728.41
  4. Step 4: Simplify right side
    223,633,498.77x = 40,375,433,556,551,760
  5. Step 5: Solve for x
    x = 40,375,433,556,551,760/223,633,498.77
  6. Step 6: Final answer
    x = 180,542,869.38

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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.