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Finding the Fourth Proportional to 193,088,292.30, 289,968,361.65 and 102,389,028.30

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Solution

The fourth proportional to 193,088,292.30, 289,968,361.65 and 102,389,028.30 is: 153,761,672.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,088,292.30 : 289,968,361.65 = 102,389,028.30 : x
  2. Step 2: Convert to fraction form
    193,088,292.30/289,968,361.65 = 102,389,028.30/x
  3. Step 3: Cross multiply
    193,088,292.30x = 289,968,361.65 × 102,389,028.30
  4. Step 4: Simplify right side
    193,088,292.30x = 29,689,578,787,086,480
  5. Step 5: Solve for x
    x = 29,689,578,787,086,480/193,088,292.30
  6. Step 6: Final answer
    x = 153,761,672.62

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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.