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Finding the Fourth Proportional to 2,457,846,868,812.10, 3,686,770,303,218.20 and 2,457,846,868,812.10

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Solution

The fourth proportional to 2,457,846,868,812.10, 3,686,770,303,218.20 and 2,457,846,868,812.10 is: 3,686,770,303,218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457,846,868,812.10 : 3,686,770,303,218.20 = 2,457,846,868,812.10 : x
  2. Step 2: Convert to fraction form
    2,457,846,868,812.10/3,686,770,303,218.20 = 2,457,846,868,812.10/x
  3. Step 3: Cross multiply
    2,457,846,868,812.10x = 3,686,770,303,218.20 × 2,457,846,868,812.10
  4. Step 4: Simplify right side
    2,457,846,868,812.10x = 9,061,516,845,794,289,812,242,432
  5. Step 5: Solve for x
    x = 9,061,516,845,794,289,812,242,432/2,457,846,868,812.10
  6. Step 6: Final answer
    x = 3,686,770,303,218.20

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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.