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Finding the Fourth Proportional to 193,103,652.80, 289,991,402.40 and 102,404,388.80

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Solution

The fourth proportional to 193,103,652.80, 289,991,402.40 and 102,404,388.80 is: 153,784,725.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,103,652.80 : 289,991,402.40 = 102,404,388.80 : x
  2. Step 2: Convert to fraction form
    193,103,652.80/289,991,402.40 = 102,404,388.80/x
  3. Step 3: Cross multiply
    193,103,652.80x = 289,991,402.40 × 102,404,388.80
  4. Step 4: Simplify right side
    193,103,652.80x = 29,696,392,320,026,848
  5. Step 5: Solve for x
    x = 29,696,392,320,026,848/193,103,652.80
  6. Step 6: Final answer
    x = 153,784,725.92

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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.