Finding the Fourth Proportional to 19,472,220,021,001, 29,209,269,423,080 and 6,402,694,618,165
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Solution
The fourth proportional to 19,472,220,021,001, 29,209,269,423,080 and 6,402,694,618,165 is: 9,604,350,810,230.41
Step by Step Solution
- Step 1: Write the proportion equation
19,472,220,021,001 : 29,209,269,423,080 = 6,402,694,618,165 : x - Step 2: Convert to fraction form
19,472,220,021,001/29,209,269,423,080 = 6,402,694,618,165/x - Step 3: Cross multiply
19,472,220,021,001x = 29,209,269,423,080 × 6,402,694,618,165 - Step 4: Simplify right side
19,472,220,021,001x = 187,018,032,135,685,802,872,012,800 - Step 5: Solve for x
x = 187,018,032,135,685,802,872,012,800/19,472,220,021,001 - Step 6: Final answer
x = 9,604,350,810,230.41
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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.