Finding the Fourth Proportional to 5,613,312,998.16, 8,419,946,548.32 and 1,416,275,648.64
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Solution
The fourth proportional to 5,613,312,998.16, 8,419,946,548.32 and 1,416,275,648.64 is: 2,124,407,682.80
Step by Step Solution
- Step 1: Write the proportion equation
5,613,312,998.16 : 8,419,946,548.32 = 1,416,275,648.64 : x - Step 2: Convert to fraction form
5,613,312,998.16/8,419,946,548.32 = 1,416,275,648.64/x - Step 3: Cross multiply
5,613,312,998.16x = 8,419,946,548.32 × 1,416,275,648.64 - Step 4: Simplify right side
5,613,312,998.16x = 11,924,965,259,236,036,608 - Step 5: Solve for x
x = 11,924,965,259,236,036,608/5,613,312,998.16 - Step 6: Final answer
x = 2,124,407,682.80
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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.