Finding the Fourth Proportional to 1,989,952,381,496.20, 2,985,227,030,133.60 and 698,936,087,171.19
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Solution
The fourth proportional to 1,989,952,381,496.20, 2,985,227,030,133.60 and 698,936,087,171.19 is: 1,048,508,958,887.99
Step by Step Solution
- Step 1: Write the proportion equation
1,989,952,381,496.20 : 2,985,227,030,133.60 = 698,936,087,171.19 : x - Step 2: Convert to fraction form
1,989,952,381,496.20/2,985,227,030,133.60 = 698,936,087,171.19/x - Step 3: Cross multiply
1,989,952,381,496.20x = 2,985,227,030,133.60 × 698,936,087,171.19 - Step 4: Simplify right side
1,989,952,381,496.20x = 2,086,482,899,759,250,442,027,008 - Step 5: Solve for x
x = 2,086,482,899,759,250,442,027,008/1,989,952,381,496.20 - Step 6: Final answer
x = 1,048,508,958,887.99
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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.