Finding the Fourth Proportional to 206,254,962,998.56, 284,631,862,625.44 and 114,801,551,184.26
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Solution
The fourth proportional to 206,254,962,998.56, 284,631,862,625.44 and 114,801,551,184.26 is: 158,426,148,252.70
Step by Step Solution
- Step 1: Write the proportion equation
206,254,962,998.56 : 284,631,862,625.44 = 114,801,551,184.26 : x - Step 2: Convert to fraction form
206,254,962,998.56/284,631,862,625.44 = 114,801,551,184.26/x - Step 3: Cross multiply
206,254,962,998.56x = 284,631,862,625.44 × 114,801,551,184.26 - Step 4: Simplify right side
206,254,962,998.56x = 32,676,179,345,865,711,812,608 - Step 5: Solve for x
x = 32,676,179,345,865,711,812,608/206,254,962,998.56 - Step 6: Final answer
x = 158,426,148,252.70
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.