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Finding the Fourth Proportional to 1,086,562,023.90, 1,629,843,035.86 and 1,086,562,023.90

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Solution

The fourth proportional to 1,086,562,023.90, 1,629,843,035.86 and 1,086,562,023.90 is: 1,629,843,035.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086,562,023.90 : 1,629,843,035.86 = 1,086,562,023.90 : x
  2. Step 2: Convert to fraction form
    1,086,562,023.90/1,629,843,035.86 = 1,086,562,023.90/x
  3. Step 3: Cross multiply
    1,086,562,023.90x = 1,629,843,035.86 × 1,086,562,023.90
  4. Step 4: Simplify right side
    1,086,562,023.90x = 1,770,925,547,683,361,792
  5. Step 5: Solve for x
    x = 1,770,925,547,683,361,792/1,086,562,023.90
  6. Step 6: Final answer
    x = 1,629,843,035.86

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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.