Finding the Fourth Proportional to 9,717,259,841.82, 13,409,868,169.49 and 5,430,544,707.62
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Solution
The fourth proportional to 9,717,259,841.82, 13,409,868,169.49 and 5,430,544,707.62 is: 7,494,179,408.92
Step by Step Solution
- Step 1: Write the proportion equation
9,717,259,841.82 : 13,409,868,169.49 = 5,430,544,707.62 : x - Step 2: Convert to fraction form
9,717,259,841.82/13,409,868,169.49 = 5,430,544,707.62/x - Step 3: Cross multiply
9,717,259,841.82x = 13,409,868,169.49 × 5,430,544,707.62 - Step 4: Simplify right side
9,717,259,841.82x = 72,822,888,617,710,854,144 - Step 5: Solve for x
x = 72,822,888,617,710,854,144/9,717,259,841.82 - Step 6: Final answer
x = 7,494,179,408.92
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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.