Finding the Fourth Proportional to 1,340,350,314,537.80, 2,010,512,222,461.40 and 614,075,635,486.18
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Solution
The fourth proportional to 1,340,350,314,537.80, 2,010,512,222,461.40 and 614,075,635,486.18 is: 921,107,383,099.66
Step by Step Solution
- Step 1: Write the proportion equation
1,340,350,314,537.80 : 2,010,512,222,461.40 = 614,075,635,486.18 : x - Step 2: Convert to fraction form
1,340,350,314,537.80/2,010,512,222,461.40 = 614,075,635,486.18/x - Step 3: Cross multiply
1,340,350,314,537.80x = 2,010,512,222,461.40 × 614,075,635,486.18 - Step 4: Simplify right side
1,340,350,314,537.80x = 1,234,606,570,660,716,294,963,200 - Step 5: Solve for x
x = 1,234,606,570,660,716,294,963,200/1,340,350,314,537.80 - Step 6: Final answer
x = 921,107,383,099.66
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.