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Finding the Fourth Proportional to 313,937,855,999.10, 470,906,783,998.65 and 313,937,855,999.10

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Solution

The fourth proportional to 313,937,855,999.10, 470,906,783,998.65 and 313,937,855,999.10 is: 470,906,783,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,937,855,999.10 : 470,906,783,998.65 = 313,937,855,999.10 : x
  2. Step 2: Convert to fraction form
    313,937,855,999.10/470,906,783,998.65 = 313,937,855,999.10/x
  3. Step 3: Cross multiply
    313,937,855,999.10x = 470,906,783,998.65 × 313,937,855,999.10
  4. Step 4: Simplify right side
    313,937,855,999.10x = 147,835,466,143,967,465,177,088
  5. Step 5: Solve for x
    x = 147,835,466,143,967,465,177,088/313,937,855,999.10
  6. Step 6: Final answer
    x = 470,906,783,998.65

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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.