Finding the Fourth Proportional to 1,706,773,262,438.40, 2,560,310,398,618.70 and 481,543,104,414.90
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Solution
The fourth proportional to 1,706,773,262,438.40, 2,560,310,398,618.70 and 481,543,104,414.90 is: 722,357,119,571.47
Step by Step Solution
- Step 1: Write the proportion equation
1,706,773,262,438.40 : 2,560,310,398,618.70 = 481,543,104,414.90 : x - Step 2: Convert to fraction form
1,706,773,262,438.40/2,560,310,398,618.70 = 481,543,104,414.90/x - Step 3: Cross multiply
1,706,773,262,438.40x = 2,560,310,398,618.70 × 481,543,104,414.90 - Step 4: Simplify right side
1,706,773,262,438.40x = 1,232,899,817,616,599,133,716,480 - Step 5: Solve for x
x = 1,232,899,817,616,599,133,716,480/1,706,773,262,438.40 - Step 6: Final answer
x = 722,357,119,571.47
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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.