Finding the Fourth Proportional to 1,706,773,262,452.10, 2,560,310,398,639.80 and 481,543,104,428.60
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Solution
The fourth proportional to 1,706,773,262,452.10, 2,560,310,398,639.80 and 481,543,104,428.60 is: 722,357,119,592.17
Step by Step Solution
- Step 1: Write the proportion equation
1,706,773,262,452.10 : 2,560,310,398,639.80 = 481,543,104,428.60 : x - Step 2: Convert to fraction form
1,706,773,262,452.10/2,560,310,398,639.80 = 481,543,104,428.60/x - Step 3: Cross multiply
1,706,773,262,452.10x = 2,560,310,398,639.80 × 481,543,104,428.60 - Step 4: Simplify right side
1,706,773,262,452.10x = 1,232,899,817,661,835,608,326,144 - Step 5: Solve for x
x = 1,232,899,817,661,835,608,326,144/1,706,773,262,452.10 - Step 6: Final answer
x = 722,357,119,592.17
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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.