Finding the Fourth Proportional to 27,698,240,205,334, 38,207,690,766,432 and 17,275,001,518,494
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Solution
The fourth proportional to 27,698,240,205,334, 38,207,690,766,432 and 17,275,001,518,494 is: 23,829,597,516,493.30
Step by Step Solution
- Step 1: Write the proportion equation
27,698,240,205,334 : 38,207,690,766,432 = 17,275,001,518,494 : x - Step 2: Convert to fraction form
27,698,240,205,334/38,207,690,766,432 = 17,275,001,518,494/x - Step 3: Cross multiply
27,698,240,205,334x = 38,207,690,766,432 × 17,275,001,518,494 - Step 4: Simplify right side
27,698,240,205,334x = 660,037,916,008,261,939,969,916,928 - Step 5: Solve for x
x = 660,037,916,008,261,939,969,916,928/27,698,240,205,334 - Step 6: Final answer
x = 23,829,597,516,493.30
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1.5x scale
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.