Finding the Fourth Proportional to 1,989,952,381,499.60, 2,985,227,030,138.80 and 698,936,087,174.68
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Solution
The fourth proportional to 1,989,952,381,499.60, 2,985,227,030,138.80 and 698,936,087,174.68 is: 1,048,508,958,893.26
Step by Step Solution
- Step 1: Write the proportion equation
1,989,952,381,499.60 : 2,985,227,030,138.80 = 698,936,087,174.68 : x - Step 2: Convert to fraction form
1,989,952,381,499.60/2,985,227,030,138.80 = 698,936,087,174.68/x - Step 3: Cross multiply
1,989,952,381,499.60x = 2,985,227,030,138.80 × 698,936,087,174.68 - Step 4: Simplify right side
1,989,952,381,499.60x = 2,086,482,899,773,303,306,584,064 - Step 5: Solve for x
x = 2,086,482,899,773,303,306,584,064/1,989,952,381,499.60 - Step 6: Final answer
x = 1,048,508,958,893.26
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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.