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Finding the Fourth Proportional to 2,457,846,868,518.80, 3,686,770,302,778.50 and 2,457,846,868,518.80

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Solution

The fourth proportional to 2,457,846,868,518.80, 3,686,770,302,778.50 and 2,457,846,868,518.80 is: 3,686,770,302,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457,846,868,518.80 : 3,686,770,302,778.50 = 2,457,846,868,518.80 : x
  2. Step 2: Convert to fraction form
    2,457,846,868,518.80/3,686,770,302,778.50 = 2,457,846,868,518.80/x
  3. Step 3: Cross multiply
    2,457,846,868,518.80x = 3,686,770,302,778.50 × 2,457,846,868,518.80
  4. Step 4: Simplify right side
    2,457,846,868,518.80x = 9,061,516,843,632,244,077,625,344
  5. Step 5: Solve for x
    x = 9,061,516,843,632,244,077,625,344/2,457,846,868,518.80
  6. Step 6: Final answer
    x = 3,686,770,302,778.50

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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.