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Finding the Fourth Proportional to 239,946,496,028.80, 359,919,744,043.20 and 239,946,496,028.80

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Solution

The fourth proportional to 239,946,496,028.80, 359,919,744,043.20 and 239,946,496,028.80 is: 359,919,744,043.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,946,496,028.80 : 359,919,744,043.20 = 239,946,496,028.80 : x
  2. Step 2: Convert to fraction form
    239,946,496,028.80/359,919,744,043.20 = 239,946,496,028.80/x
  3. Step 3: Cross multiply
    239,946,496,028.80x = 359,919,744,043.20 × 239,946,496,028.80
  4. Step 4: Simplify right side
    239,946,496,028.80x = 86,361,481,434,748,405,415,936
  5. Step 5: Solve for x
    x = 86,361,481,434,748,405,415,936/239,946,496,028.80
  6. Step 6: Final answer
    x = 359,919,744,043.20

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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.