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Finding the Fourth Proportional to 1,335,583,707,764.60, 2,003,375,561,647.10 and 1,335,583,707,764.60

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Solution

The fourth proportional to 1,335,583,707,764.60, 2,003,375,561,647.10 and 1,335,583,707,764.60 is: 2,003,375,561,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335,583,707,764.60 : 2,003,375,561,647.10 = 1,335,583,707,764.60 : x
  2. Step 2: Convert to fraction form
    1,335,583,707,764.60/2,003,375,561,647.10 = 1,335,583,707,764.60/x
  3. Step 3: Cross multiply
    1,335,583,707,764.60x = 2,003,375,561,647.10 × 1,335,583,707,764.60
  4. Step 4: Simplify right side
    1,335,583,707,764.60x = 2,675,675,760,669,622,246,834,176
  5. Step 5: Solve for x
    x = 2,675,675,760,669,622,246,834,176/1,335,583,707,764.60
  6. Step 6: Final answer
    x = 2,003,375,561,647.10

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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.