Finding the Fourth Proportional to 11,189,106,257.84, 15,441,015,954 and 6,176,894,868.08
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Solution
The fourth proportional to 11,189,106,257.84, 15,441,015,954 and 6,176,894,868.08 is: 8,524,142,143.83
Step by Step Solution
- Step 1: Write the proportion equation
11,189,106,257.84 : 15,441,015,954 = 6,176,894,868.08 : x - Step 2: Convert to fraction form
11,189,106,257.84/15,441,015,954 = 6,176,894,868.08/x - Step 3: Cross multiply
11,189,106,257.84x = 15,441,015,954 × 6,176,894,868.08 - Step 4: Simplify right side
11,189,106,257.84x = 95,377,532,204,203,999,232 - Step 5: Solve for x
x = 95,377,532,204,203,999,232/11,189,106,257.84 - Step 6: Final answer
x = 8,524,142,143.83
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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.