Finding the Fourth Proportional to 802,121,617,649.09, 1,203,182,426,473.60 and 802,121,617,649.09
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Solution
The fourth proportional to 802,121,617,649.09, 1,203,182,426,473.60 and 802,121,617,649.09 is: 1,203,182,426,473.60
Step by Step Solution
- Step 1: Write the proportion equation
802,121,617,649.09 : 1,203,182,426,473.60 = 802,121,617,649.09 : x - Step 2: Convert to fraction form
802,121,617,649.09/1,203,182,426,473.60 = 802,121,617,649.09/x - Step 3: Cross multiply
802,121,617,649.09x = 1,203,182,426,473.60 × 802,121,617,649.09 - Step 4: Simplify right side
802,121,617,649.09x = 965,098,634,249,961,308,422,144 - Step 5: Solve for x
x = 965,098,634,249,961,308,422,144/802,121,617,649.09 - Step 6: Final answer
x = 1,203,182,426,473.60
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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.