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Finding the Fourth Proportional to 188,795,502,001.10, 283,193,253,001.65 and 188,795,502,001.10

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Solution

The fourth proportional to 188,795,502,001.10, 283,193,253,001.65 and 188,795,502,001.10 is: 283,193,253,001.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,795,502,001.10 : 283,193,253,001.65 = 188,795,502,001.10 : x
  2. Step 2: Convert to fraction form
    188,795,502,001.10/283,193,253,001.65 = 188,795,502,001.10/x
  3. Step 3: Cross multiply
    188,795,502,001.10x = 283,193,253,001.65 × 188,795,502,001.10
  4. Step 4: Simplify right side
    188,795,502,001.10x = 53,465,612,363,771,041,284,096
  5. Step 5: Solve for x
    x = 53,465,612,363,771,041,284,096/188,795,502,001.10
  6. Step 6: Final answer
    x = 283,193,253,001.65

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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.