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Finding the Fourth Proportional to 6,737,855,998.10, 10,106,783,997.15 and 6,737,855,998.10

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Solution

The fourth proportional to 6,737,855,998.10, 10,106,783,997.15 and 6,737,855,998.10 is: 10,106,783,997.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737,855,998.10 : 10,106,783,997.15 = 6,737,855,998.10 : x
  2. Step 2: Convert to fraction form
    6,737,855,998.10/10,106,783,997.15 = 6,737,855,998.10/x
  3. Step 3: Cross multiply
    6,737,855,998.10x = 10,106,783,997.15 × 6,737,855,998.10
  4. Step 4: Simplify right side
    6,737,855,998.10x = 68,098,055,176,698,224,640
  5. Step 5: Solve for x
    x = 68,098,055,176,698,224,640/6,737,855,998.10
  6. Step 6: Final answer
    x = 10,106,783,997.15

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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.