Finding the Fourth Proportional to 465,472,590,147.05, 698,208,885,220.55 and 465,472,590,147.05
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Solution
The fourth proportional to 465,472,590,147.05, 698,208,885,220.55 and 465,472,590,147.05 is: 698,208,885,220.55
Step by Step Solution
- Step 1: Write the proportion equation
465,472,590,147.05 : 698,208,885,220.55 = 465,472,590,147.05 : x - Step 2: Convert to fraction form
465,472,590,147.05/698,208,885,220.55 = 465,472,590,147.05/x - Step 3: Cross multiply
465,472,590,147.05x = 698,208,885,220.55 × 465,472,590,147.05 - Step 4: Simplify right side
465,472,590,147.05x = 324,997,098,267,293,750,657,024 - Step 5: Solve for x
x = 324,997,098,267,293,750,657,024/465,472,590,147.05 - Step 6: Final answer
x = 698,208,885,220.55
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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.