Finding the Fourth Proportional to 472,255,612.48, 651,921,748.77 and 305,073,407.98
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Solution
The fourth proportional to 472,255,612.48, 651,921,748.77 and 305,073,407.98 is: 421,136,317.66
Step by Step Solution
- Step 1: Write the proportion equation
472,255,612.48 : 651,921,748.77 = 305,073,407.98 : x - Step 2: Convert to fraction form
472,255,612.48/651,921,748.77 = 305,073,407.98/x - Step 3: Cross multiply
472,255,612.48x = 651,921,748.77 × 305,073,407.98 - Step 4: Simplify right side
472,255,612.48x = 198,883,989,633,545,280 - Step 5: Solve for x
x = 198,883,989,633,545,280/472,255,612.48 - Step 6: Final answer
x = 421,136,317.66
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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.