Home / 400,201,076,162.93-552,261,995,428.32-217,293,991,464.30

Finding the Fourth Proportional to 400,201,076,162.93, 552,261,995,428.32 and 217,293,991,464.30

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Solution

The fourth proportional to 400,201,076,162.93, 552,261,995,428.32 and 217,293,991,464.30 is: 299,857,297,914.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,201,076,162.93 : 552,261,995,428.32 = 217,293,991,464.30 : x
  2. Step 2: Convert to fraction form
    400,201,076,162.93/552,261,995,428.32 = 217,293,991,464.30/x
  3. Step 3: Cross multiply
    400,201,076,162.93x = 552,261,995,428.32 × 217,293,991,464.30
  4. Step 4: Simplify right side
    400,201,076,162.93x = 120,003,213,320,658,628,902,912
  5. Step 5: Solve for x
    x = 120,003,213,320,658,628,902,912/400,201,076,162.93
  6. Step 6: Final answer
    x = 299,857,297,914.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.