Finding the Fourth Proportional to 13,970,282,305.40, 19,278,891,507 and 7,626,650,138.09
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Solution
The fourth proportional to 13,970,282,305.40, 19,278,891,507 and 7,626,650,138.09 is: 10,524,723,649.80
Step by Step Solution
- Step 1: Write the proportion equation
13,970,282,305.40 : 19,278,891,507 = 7,626,650,138.09 : x - Step 2: Convert to fraction form
13,970,282,305.40/19,278,891,507 = 7,626,650,138.09/x - Step 3: Cross multiply
13,970,282,305.40x = 19,278,891,507 × 7,626,650,138.09 - Step 4: Simplify right side
13,970,282,305.40x = 147,033,360,573,987,291,136 - Step 5: Solve for x
x = 147,033,360,573,987,291,136/13,970,282,305.40 - Step 6: Final answer
x = 10,524,723,649.80
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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.