Finding the Fourth Proportional to 863,642,848,792.25, 1,191,864,595,537.80 and 478,267,194,643.66
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Solution
The fourth proportional to 863,642,848,792.25, 1,191,864,595,537.80 and 478,267,194,643.66 is: 660,029,475,494.55
Step by Step Solution
- Step 1: Write the proportion equation
863,642,848,792.25 : 1,191,864,595,537.80 = 478,267,194,643.66 : x - Step 2: Convert to fraction form
863,642,848,792.25/1,191,864,595,537.80 = 478,267,194,643.66/x - Step 3: Cross multiply
863,642,848,792.25x = 1,191,864,595,537.80 × 478,267,194,643.66 - Step 4: Simplify right side
863,642,848,792.25x = 570,029,736,502,964,070,121,472 - Step 5: Solve for x
x = 570,029,736,502,964,070,121,472/863,642,848,792.25 - Step 6: Final answer
x = 660,029,475,494.55
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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.