Finding the Fourth Proportional to 2,113,737,958,241.40, 3,169,309,354,491.30 and 821,440,301,027.49
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Solution
The fourth proportional to 2,113,737,958,241.40, 3,169,309,354,491.30 and 821,440,301,027.49 is: 1,231,656,185,220.12
Step by Step Solution
- Step 1: Write the proportion equation
2,113,737,958,241.40 : 3,169,309,354,491.30 = 821,440,301,027.49 : x - Step 2: Convert to fraction form
2,113,737,958,241.40/3,169,309,354,491.30 = 821,440,301,027.49/x - Step 3: Cross multiply
2,113,737,958,241.40x = 3,169,309,354,491.30 × 821,440,301,027.49 - Step 4: Simplify right side
2,113,737,958,241.40x = 2,603,398,430,202,573,076,037,632 - Step 5: Solve for x
x = 2,603,398,430,202,573,076,037,632/2,113,737,958,241.40 - Step 6: Final answer
x = 1,231,656,185,220.12
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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.