Finding the Fourth Proportional to 18,343,153,441,658, 25,314,088,866,492 and 10,010,177,082,376
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Solution
The fourth proportional to 18,343,153,441,658, 25,314,088,866,492 and 10,010,177,082,376 is: 13,814,337,487,746.79
Step by Step Solution
- Step 1: Write the proportion equation
18,343,153,441,658 : 25,314,088,866,492 = 10,010,177,082,376 : x - Step 2: Convert to fraction form
18,343,153,441,658/25,314,088,866,492 = 10,010,177,082,376/x - Step 3: Cross multiply
18,343,153,441,658x = 25,314,088,866,492 × 10,010,177,082,376 - Step 4: Simplify right side
18,343,153,441,658x = 253,398,512,232,587,670,348,365,824 - Step 5: Solve for x
x = 253,398,512,232,587,670,348,365,824/18,343,153,441,658 - Step 6: Final answer
x = 13,814,337,487,746.79
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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.