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Finding the Fourth Proportional to 16,175,814,898.60, 24,263,722,347.90 and 16,175,814,898.60

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Solution

The fourth proportional to 16,175,814,898.60, 24,263,722,347.90 and 16,175,814,898.60 is: 24,263,722,347.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175,814,898.60 : 24,263,722,347.90 = 16,175,814,898.60 : x
  2. Step 2: Convert to fraction form
    16,175,814,898.60/24,263,722,347.90 = 16,175,814,898.60/x
  3. Step 3: Cross multiply
    16,175,814,898.60x = 24,263,722,347.90 × 16,175,814,898.60
  4. Step 4: Simplify right side
    16,175,814,898.60x = 392,485,481,450,654,597,120
  5. Step 5: Solve for x
    x = 392,485,481,450,654,597,120/16,175,814,898.60
  6. Step 6: Final answer
    x = 24,263,722,347.90

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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.