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Finding the Fourth Proportional to 564,642,021.60, 847,263,963.60 and 219,606,904.80

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Solution

The fourth proportional to 564,642,021.60, 847,263,963.60 and 219,606,904.80 is: 329,527,398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,642,021.60 : 847,263,963.60 = 219,606,904.80 : x
  2. Step 2: Convert to fraction form
    564,642,021.60/847,263,963.60 = 219,606,904.80/x
  3. Step 3: Cross multiply
    564,642,021.60x = 847,263,963.60 × 219,606,904.80
  4. Step 4: Simplify right side
    564,642,021.60x = 186,065,016,594,775,872
  5. Step 5: Solve for x
    x = 186,065,016,594,775,872/564,642,021.60
  6. Step 6: Final answer
    x = 329,527,398.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.