Finding the Fourth Proportional to 27,676,116,201,290, 41,485,113,915,948 and 9,311,856,231,645
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Solution
The fourth proportional to 27,676,116,201,290, 41,485,113,915,948 and 9,311,856,231,645 is: 13,958,006,742,315.86
Step by Step Solution
- Step 1: Write the proportion equation
27,676,116,201,290 : 41,485,113,915,948 = 9,311,856,231,645 : x - Step 2: Convert to fraction form
27,676,116,201,290/41,485,113,915,948 = 9,311,856,231,645/x - Step 3: Cross multiply
27,676,116,201,290x = 41,485,113,915,948 × 9,311,856,231,645 - Step 4: Simplify right side
27,676,116,201,290x = 386,303,416,538,723,111,212,679,168 - Step 5: Solve for x
x = 386,303,416,538,723,111,212,679,168/27,676,116,201,290 - Step 6: Final answer
x = 13,958,006,742,315.86
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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.