Finding the Fourth Proportional to 305,844,344,594.72, 458,640,295,401.49 and 104,402,305,129.05
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Solution
The fourth proportional to 305,844,344,594.72, 458,640,295,401.49 and 104,402,305,129.05 is: 156,560,371,022.83
Step by Step Solution
- Step 1: Write the proportion equation
305,844,344,594.72 : 458,640,295,401.49 = 104,402,305,129.05 : x - Step 2: Convert to fraction form
305,844,344,594.72/458,640,295,401.49 = 104,402,305,129.05/x - Step 3: Cross multiply
305,844,344,594.72x = 458,640,295,401.49 × 104,402,305,129.05 - Step 4: Simplify right side
305,844,344,594.72x = 47,883,104,064,983,988,699,136 - Step 5: Solve for x
x = 47,883,104,064,983,988,699,136/305,844,344,594.72 - Step 6: Final answer
x = 156,560,371,022.83
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1.5x scale
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.