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Finding the Fourth Proportional to 5,157,493,213.80, 7,736,239,820.70 and 5,157,493,213.80

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Solution

The fourth proportional to 5,157,493,213.80, 7,736,239,820.70 and 5,157,493,213.80 is: 7,736,239,820.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157,493,213.80 : 7,736,239,820.70 = 5,157,493,213.80 : x
  2. Step 2: Convert to fraction form
    5,157,493,213.80/7,736,239,820.70 = 5,157,493,213.80/x
  3. Step 3: Cross multiply
    5,157,493,213.80x = 7,736,239,820.70 × 5,157,493,213.80
  4. Step 4: Simplify right side
    5,157,493,213.80x = 39,899,604,375,589,576,704
  5. Step 5: Solve for x
    x = 39,899,604,375,589,576,704/5,157,493,213.80
  6. Step 6: Final answer
    x = 7,736,239,820.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.