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Finding the Fourth Proportional to 1,245,783,400.23, 1,868,675,100.34 and 1,245,783,400.23

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Solution

The fourth proportional to 1,245,783,400.23, 1,868,675,100.34 and 1,245,783,400.23 is: 1,868,675,100.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245,783,400.23 : 1,868,675,100.34 = 1,245,783,400.23 : x
  2. Step 2: Convert to fraction form
    1,245,783,400.23/1,868,675,100.34 = 1,245,783,400.23/x
  3. Step 3: Cross multiply
    1,245,783,400.23x = 1,868,675,100.34 × 1,245,783,400.23
  4. Step 4: Simplify right side
    1,245,783,400.23x = 2,327,964,420,414,243,840
  5. Step 5: Solve for x
    x = 2,327,964,420,414,243,840/1,245,783,400.23
  6. Step 6: Final answer
    x = 1,868,675,100.34

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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.