Finding the Fourth Proportional to 27,051,266,725.36, 40,578,175,546.44 and 22,320,814,716.88
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Solution
The fourth proportional to 27,051,266,725.36, 40,578,175,546.44 and 22,320,814,716.88 is: 33,482,274,494.45
Step by Step Solution
- Step 1: Write the proportion equation
27,051,266,725.36 : 40,578,175,546.44 = 22,320,814,716.88 : x - Step 2: Convert to fraction form
27,051,266,725.36/40,578,175,546.44 = 22,320,814,716.88/x - Step 3: Cross multiply
27,051,266,725.36x = 40,578,175,546.44 × 22,320,814,716.88 - Step 4: Simplify right side
27,051,266,725.36x = 905,737,937,921,118,175,232 - Step 5: Solve for x
x = 905,737,937,921,118,175,232/27,051,266,725.36 - Step 6: Final answer
x = 33,482,274,494.45
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1.5x scale
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.