Finding the Fourth Proportional to 1,027,885,276,310, 1,418,515,699,466.10 and 564,928,724,571.44
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Solution
The fourth proportional to 1,027,885,276,310, 1,418,515,699,466.10 and 564,928,724,571.44 is: 779,620,336,386.90
Step by Step Solution
- Step 1: Write the proportion equation
1,027,885,276,310 : 1,418,515,699,466.10 = 564,928,724,571.44 : x - Step 2: Convert to fraction form
1,027,885,276,310/1,418,515,699,466.10 = 564,928,724,571.44/x - Step 3: Cross multiply
1,027,885,276,310x = 1,418,515,699,466.10 × 564,928,724,571.44 - Step 4: Simplify right side
1,027,885,276,310x = 801,360,264,883,947,958,173,696 - Step 5: Solve for x
x = 801,360,264,883,947,958,173,696/1,027,885,276,310 - Step 6: Final answer
x = 779,620,336,386.90
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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.