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Finding the Fourth Proportional to 3,673,331,856,000.10, 5,509,997,783,999.80 and 3,673,331,856,000.10

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Solution

The fourth proportional to 3,673,331,856,000.10, 5,509,997,783,999.80 and 3,673,331,856,000.10 is: 5,509,997,783,999.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673,331,856,000.10 : 5,509,997,783,999.80 = 3,673,331,856,000.10 : x
  2. Step 2: Convert to fraction form
    3,673,331,856,000.10/5,509,997,783,999.80 = 3,673,331,856,000.10/x
  3. Step 3: Cross multiply
    3,673,331,856,000.10x = 5,509,997,783,999.80 × 3,673,331,856,000.10
  4. Step 4: Simplify right side
    3,673,331,856,000.10x = 20,240,050,386,456,424,315,092,992
  5. Step 5: Solve for x
    x = 20,240,050,386,456,424,315,092,992/3,673,331,856,000.10
  6. Step 6: Final answer
    x = 5,509,997,783,999.80

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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.