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Finding the Fourth Proportional to 2,457,846,868,519.80, 3,686,770,302,779.80 and 2,457,846,868,519.80

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Solution

The fourth proportional to 2,457,846,868,519.80, 3,686,770,302,779.80 and 2,457,846,868,519.80 is: 3,686,770,302,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457,846,868,519.80 : 3,686,770,302,779.80 = 2,457,846,868,519.80 : x
  2. Step 2: Convert to fraction form
    2,457,846,868,519.80/3,686,770,302,779.80 = 2,457,846,868,519.80/x
  3. Step 3: Cross multiply
    2,457,846,868,519.80x = 3,686,770,302,779.80 × 2,457,846,868,519.80
  4. Step 4: Simplify right side
    2,457,846,868,519.80x = 9,061,516,843,639,124,615,233,536
  5. Step 5: Solve for x
    x = 9,061,516,843,639,124,615,233,536/2,457,846,868,519.80
  6. Step 6: Final answer
    x = 3,686,770,302,779.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.