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Finding the Fourth Proportional to 100,100,231.70, 140,341,878.30 and 100,100,231.70

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Solution

The fourth proportional to 100,100,231.70, 140,341,878.30 and 100,100,231.70 is: 140,341,878.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,100,231.70 : 140,341,878.30 = 100,100,231.70 : x
  2. Step 2: Convert to fraction form
    100,100,231.70/140,341,878.30 = 100,100,231.70/x
  3. Step 3: Cross multiply
    100,100,231.70x = 140,341,878.30 × 100,100,231.70
  4. Step 4: Simplify right side
    100,100,231.70x = 14,048,254,535,043,204
  5. Step 5: Solve for x
    x = 14,048,254,535,043,204/100,100,231.70
  6. Step 6: Final answer
    x = 140,341,878.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.