Finding the Fourth Proportional to 8,994,397,142,130.40, 12,412,268,056,138 and 5,144,987,163,424.20
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Solution
The fourth proportional to 8,994,397,142,130.40, 12,412,268,056,138 and 5,144,987,163,424.20 is: 7,100,082,285,524.28
Step by Step Solution
- Step 1: Write the proportion equation
8,994,397,142,130.40 : 12,412,268,056,138 = 5,144,987,163,424.20 : x - Step 2: Convert to fraction form
8,994,397,142,130.40/12,412,268,056,138 = 5,144,987,163,424.20/x - Step 3: Cross multiply
8,994,397,142,130.40x = 12,412,268,056,138 × 5,144,987,163,424.20 - Step 4: Simplify right side
8,994,397,142,130.40x = 63,860,959,817,810,260,921,417,728 - Step 5: Solve for x
x = 63,860,959,817,810,260,921,417,728/8,994,397,142,130.40 - Step 6: Final answer
x = 7,100,082,285,524.28
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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.