Finding the Fourth Proportional to 7,848,268,993.36, 11,772,445,998.84 and 2,327,574,857.68
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Solution
The fourth proportional to 7,848,268,993.36, 11,772,445,998.84 and 2,327,574,857.68 is: 3,491,374,893.43
Step by Step Solution
- Step 1: Write the proportion equation
7,848,268,993.36 : 11,772,445,998.84 = 2,327,574,857.68 : x - Step 2: Convert to fraction form
7,848,268,993.36/11,772,445,998.84 = 2,327,574,857.68/x - Step 3: Cross multiply
7,848,268,993.36x = 11,772,445,998.84 × 2,327,574,857.68 - Step 4: Simplify right side
7,848,268,993.36x = 27,401,249,320,295,497,728 - Step 5: Solve for x
x = 27,401,249,320,295,497,728/7,848,268,993.36 - Step 6: Final answer
x = 3,491,374,893.43
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.