Finding the Fourth Proportional to 832,097,327.67, 1,147,741,396.54 and 535,115,032.28
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Solution
The fourth proportional to 832,097,327.67, 1,147,741,396.54 and 535,115,032.28 is: 738,103,168.99
Step by Step Solution
- Step 1: Write the proportion equation
832,097,327.67 : 1,147,741,396.54 = 535,115,032.28 : x - Step 2: Convert to fraction form
832,097,327.67/1,147,741,396.54 = 535,115,032.28/x - Step 3: Cross multiply
832,097,327.67x = 1,147,741,396.54 × 535,115,032.28 - Step 4: Simplify right side
832,097,327.67x = 614,173,674,458,594,304 - Step 5: Solve for x
x = 614,173,674,458,594,304/832,097,327.67 - Step 6: Final answer
x = 738,103,168.99
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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.