Finding the Fourth Proportional to 5,459,075,784,338, 7,533,761,393,160.80 and 3,023,121,032,188.80
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Solution
The fourth proportional to 5,459,075,784,338, 7,533,761,393,160.80 and 3,023,121,032,188.80 is: 4,172,038,165,232.82
Step by Step Solution
- Step 1: Write the proportion equation
5,459,075,784,338 : 7,533,761,393,160.80 = 3,023,121,032,188.80 : x - Step 2: Convert to fraction form
5,459,075,784,338/7,533,761,393,160.80 = 3,023,121,032,188.80/x - Step 3: Cross multiply
5,459,075,784,338x = 7,533,761,393,160.80 × 3,023,121,032,188.80 - Step 4: Simplify right side
5,459,075,784,338x = 22,775,472,519,156,407,757,438,976 - Step 5: Solve for x
x = 22,775,472,519,156,407,757,438,976/5,459,075,784,338 - Step 6: Final answer
x = 4,172,038,165,232.82
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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.