Finding the Fourth Proportional to 863,642,848,863.73, 1,191,864,595,635.90 and 478,267,194,715.07
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Solution
The fourth proportional to 863,642,848,863.73, 1,191,864,595,635.90 and 478,267,194,715.07 is: 660,029,475,592.79
Step by Step Solution
- Step 1: Write the proportion equation
863,642,848,863.73 : 1,191,864,595,635.90 = 478,267,194,715.07 : x - Step 2: Convert to fraction form
863,642,848,863.73/1,191,864,595,635.90 = 478,267,194,715.07/x - Step 3: Cross multiply
863,642,848,863.73x = 1,191,864,595,635.90 × 478,267,194,715.07 - Step 4: Simplify right side
863,642,848,863.73x = 570,029,736,634,993,109,630,976 - Step 5: Solve for x
x = 570,029,736,634,993,109,630,976/863,642,848,863.73 - Step 6: Final answer
x = 660,029,475,592.79
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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.