Finding the Fourth Proportional to 11,642,125,227,756, 16,065,054,638,054 and 6,439,441,920,438
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Solution
The fourth proportional to 11,642,125,227,756, 16,065,054,638,054 and 6,439,441,920,438 is: 8,885,833,494,023.64
Step by Step Solution
- Step 1: Write the proportion equation
11,642,125,227,756 : 16,065,054,638,054 = 6,439,441,920,438 : x - Step 2: Convert to fraction form
11,642,125,227,756/16,065,054,638,054 = 6,439,441,920,438/x - Step 3: Cross multiply
11,642,125,227,756x = 16,065,054,638,054 × 6,439,441,920,438 - Step 4: Simplify right side
11,642,125,227,756x = 103,449,986,290,411,850,359,111,680 - Step 5: Solve for x
x = 103,449,986,290,411,850,359,111,680/11,642,125,227,756 - Step 6: Final answer
x = 8,885,833,494,023.64
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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.