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Finding the Fourth Proportional to 1,345,765,400.63, 1,857,078,768.56 and 751,003,205.48

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Solution

The fourth proportional to 1,345,765,400.63, 1,857,078,768.56 and 751,003,205.48 is: 1,036,341,183.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345,765,400.63 : 1,857,078,768.56 = 751,003,205.48 : x
  2. Step 2: Convert to fraction form
    1,345,765,400.63/1,857,078,768.56 = 751,003,205.48/x
  3. Step 3: Cross multiply
    1,345,765,400.63x = 1,857,078,768.56 × 751,003,205.48
  4. Step 4: Simplify right side
    1,345,765,400.63x = 1,394,672,108,008,125,696
  5. Step 5: Solve for x
    x = 1,394,672,108,008,125,696/1,345,765,400.63
  6. Step 6: Final answer
    x = 1,036,341,183.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.