Finding the Fourth Proportional to 69,431,576,973,476, 95,809,348,476,324 and 40,202,092,731,084
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Solution
The fourth proportional to 69,431,576,973,476, 95,809,348,476,324 and 40,202,092,731,084 is: 55,475,281,994,838.53
Step by Step Solution
- Step 1: Write the proportion equation
69,431,576,973,476 : 95,809,348,476,324 = 40,202,092,731,084 : x - Step 2: Convert to fraction form
69,431,576,973,476/95,809,348,476,324 = 40,202,092,731,084/x - Step 3: Cross multiply
69,431,576,973,476x = 95,809,348,476,324 × 40,202,092,731,084 - Step 4: Simplify right side
69,431,576,973,476x = 3,851,736,311,949,918,924,806,553,600 - Step 5: Solve for x
x = 3,851,736,311,949,918,924,806,553,600/69,431,576,973,476 - Step 6: Final answer
x = 55,475,281,994,838.53
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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.