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Finding the Fourth Proportional to 6,683,003,435,331.30, 10,024,505,152,997 and 6,683,003,435,331.30

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Solution

The fourth proportional to 6,683,003,435,331.30, 10,024,505,152,997 and 6,683,003,435,331.30 is: 10,024,505,152,997

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683,003,435,331.30 : 10,024,505,152,997 = 6,683,003,435,331.30 : x
  2. Step 2: Convert to fraction form
    6,683,003,435,331.30/10,024,505,152,997 = 6,683,003,435,331.30/x
  3. Step 3: Cross multiply
    6,683,003,435,331.30x = 10,024,505,152,997 × 6,683,003,435,331.30
  4. Step 4: Simplify right side
    6,683,003,435,331.30x = 66,993,802,374,975,270,338,691,072
  5. Step 5: Solve for x
    x = 66,993,802,374,975,270,338,691,072/6,683,003,435,331.30
  6. Step 6: Final answer
    x = 10,024,505,152,997

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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.