Finding the Fourth Proportional to 232,255,730,164.80, 348,420,328,455.84 and 83,192,396,773.44
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Solution
The fourth proportional to 232,255,730,164.80, 348,420,328,455.84 and 83,192,396,773.44 is: 124,801,752,741.53
Step by Step Solution
- Step 1: Write the proportion equation
232,255,730,164.80 : 348,420,328,455.84 = 83,192,396,773.44 : x - Step 2: Convert to fraction form
232,255,730,164.80/348,420,328,455.84 = 83,192,396,773.44/x - Step 3: Cross multiply
232,255,730,164.80x = 348,420,328,455.84 × 83,192,396,773.44 - Step 4: Simplify right side
232,255,730,164.80x = 28,985,922,208,830,530,256,896 - Step 5: Solve for x
x = 28,985,922,208,830,530,256,896/232,255,730,164.80 - Step 6: Final answer
x = 124,801,752,741.53
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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.