Finding the Fourth Proportional to 16,314,592,489,439, 22,524,300,144,892 and 10,385,193,986,628
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Solution
The fourth proportional to 16,314,592,489,439, 22,524,300,144,892 and 10,385,193,986,628 is: 14,338,036,734,240.26
Step by Step Solution
- Step 1: Write the proportion equation
16,314,592,489,439 : 22,524,300,144,892 = 10,385,193,986,628 : x - Step 2: Convert to fraction form
16,314,592,489,439/22,524,300,144,892 = 10,385,193,986,628/x - Step 3: Cross multiply
16,314,592,489,439x = 22,524,300,144,892 × 10,385,193,986,628 - Step 4: Simplify right side
16,314,592,489,439x = 233,919,226,417,736,578,720,858,112 - Step 5: Solve for x
x = 233,919,226,417,736,578,720,858,112/16,314,592,489,439 - Step 6: Final answer
x = 14,338,036,734,240.26
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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.