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Finding the Fourth Proportional to 2,457,846,868,239.40, 3,686,770,302,359.10 and 2,457,846,868,239.40

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Solution

The fourth proportional to 2,457,846,868,239.40, 3,686,770,302,359.10 and 2,457,846,868,239.40 is: 3,686,770,302,359.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457,846,868,239.40 : 3,686,770,302,359.10 = 2,457,846,868,239.40 : x
  2. Step 2: Convert to fraction form
    2,457,846,868,239.40/3,686,770,302,359.10 = 2,457,846,868,239.40/x
  3. Step 3: Cross multiply
    2,457,846,868,239.40x = 3,686,770,302,359.10 × 2,457,846,868,239.40
  4. Step 4: Simplify right side
    2,457,846,868,239.40x = 9,061,516,841,571,339,454,119,936
  5. Step 5: Solve for x
    x = 9,061,516,841,571,339,454,119,936/2,457,846,868,239.40
  6. Step 6: Final answer
    x = 3,686,770,302,359.10

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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.