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Finding the Fourth Proportional to 2,457,846,868,530.50, 3,686,770,302,796.10 and 2,457,846,868,530.50

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Solution

The fourth proportional to 2,457,846,868,530.50, 3,686,770,302,796.10 and 2,457,846,868,530.50 is: 3,686,770,302,796.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457,846,868,530.50 : 3,686,770,302,796.10 = 2,457,846,868,530.50 : x
  2. Step 2: Convert to fraction form
    2,457,846,868,530.50/3,686,770,302,796.10 = 2,457,846,868,530.50/x
  3. Step 3: Cross multiply
    2,457,846,868,530.50x = 3,686,770,302,796.10 × 2,457,846,868,530.50
  4. Step 4: Simplify right side
    2,457,846,868,530.50x = 9,061,516,843,718,638,418,526,208
  5. Step 5: Solve for x
    x = 9,061,516,843,718,638,418,526,208/2,457,846,868,530.50
  6. Step 6: Final answer
    x = 3,686,770,302,796.10

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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.