Finding the Fourth Proportional to 9,705,985,768.09, 13,394,129,399.62 and 5,419,265,117.68
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Solution
The fourth proportional to 9,705,985,768.09, 13,394,129,399.62 and 5,419,265,117.68 is: 7,478,512,741.65
Step by Step Solution
- Step 1: Write the proportion equation
9,705,985,768.09 : 13,394,129,399.62 = 5,419,265,117.68 : x - Step 2: Convert to fraction form
9,705,985,768.09/13,394,129,399.62 = 5,419,265,117.68/x - Step 3: Cross multiply
9,705,985,768.09x = 13,394,129,399.62 × 5,419,265,117.68 - Step 4: Simplify right side
9,705,985,768.09x = 72,586,338,236,981,714,944 - Step 5: Solve for x
x = 72,586,338,236,981,714,944/9,705,985,768.09 - Step 6: Final answer
x = 7,478,512,741.65
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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.