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Finding the Fourth Proportional to 165,057,842,023.05, 247,586,763,034.57 and 165,057,842,023.05

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Solution

The fourth proportional to 165,057,842,023.05, 247,586,763,034.57 and 165,057,842,023.05 is: 247,586,763,034.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,057,842,023.05 : 247,586,763,034.57 = 165,057,842,023.05 : x
  2. Step 2: Convert to fraction form
    165,057,842,023.05/247,586,763,034.57 = 165,057,842,023.05/x
  3. Step 3: Cross multiply
    165,057,842,023.05x = 247,586,763,034.57 × 165,057,842,023.05
  4. Step 4: Simplify right side
    165,057,842,023.05x = 40,866,136,819,958,368,174,080
  5. Step 5: Solve for x
    x = 40,866,136,819,958,368,174,080/165,057,842,023.05
  6. Step 6: Final answer
    x = 247,586,763,034.57

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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.