Finding the Fourth Proportional to 31,995,669,608,196, 44,153,989,754,580 and 17,379,952,016,416
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Solution
The fourth proportional to 31,995,669,608,196, 44,153,989,754,580 and 17,379,952,016,416 is: 23,984,315,148,427.11
Step by Step Solution
- Step 1: Write the proportion equation
31,995,669,608,196 : 44,153,989,754,580 = 17,379,952,016,416 : x - Step 2: Convert to fraction form
31,995,669,608,196/44,153,989,754,580 = 17,379,952,016,416/x - Step 3: Cross multiply
31,995,669,608,196x = 44,153,989,754,580 × 17,379,952,016,416 - Step 4: Simplify right side
31,995,669,608,196x = 767,394,223,267,924,059,321,532,416 - Step 5: Solve for x
x = 767,394,223,267,924,059,321,532,416/31,995,669,608,196 - Step 6: Final answer
x = 23,984,315,148,427.11
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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.