Finding the Fourth Proportional to 4,179,301,241.98, 5,767,261,647.08 and 2,274,070,199.48
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Solution
The fourth proportional to 4,179,301,241.98, 5,767,261,647.08 and 2,274,070,199.48 is: 3,138,122,160.83
Step by Step Solution
- Step 1: Write the proportion equation
4,179,301,241.98 : 5,767,261,647.08 = 2,274,070,199.48 : x - Step 2: Convert to fraction form
4,179,301,241.98/5,767,261,647.08 = 2,274,070,199.48/x - Step 3: Cross multiply
4,179,301,241.98x = 5,767,261,647.08 × 2,274,070,199.48 - Step 4: Simplify right side
4,179,301,241.98x = 13,115,157,844,241,997,824 - Step 5: Solve for x
x = 13,115,157,844,241,997,824/4,179,301,241.98 - Step 6: Final answer
x = 3,138,122,160.83
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.