Finding the Fourth Proportional to 1,706,773,262,438.10, 2,560,310,398,618.60 and 481,543,104,414.80
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Solution
The fourth proportional to 1,706,773,262,438.10, 2,560,310,398,618.60 and 481,543,104,414.80 is: 722,357,119,571.42
Step by Step Solution
- Step 1: Write the proportion equation
1,706,773,262,438.10 : 2,560,310,398,618.60 = 481,543,104,414.80 : x - Step 2: Convert to fraction form
1,706,773,262,438.10/2,560,310,398,618.60 = 481,543,104,414.80/x - Step 3: Cross multiply
1,706,773,262,438.10x = 2,560,310,398,618.60 × 481,543,104,414.80 - Step 4: Simplify right side
1,706,773,262,438.10x = 1,232,899,817,616,294,727,909,376 - Step 5: Solve for x
x = 1,232,899,817,616,294,727,909,376/1,706,773,262,438.10 - Step 6: Final answer
x = 722,357,119,571.42
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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.