Finding the Fourth Proportional to 1,509,501,185.97, 2,261,306,137.40 and 1,175,946,383.44
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Solution
The fourth proportional to 1,509,501,185.97, 2,261,306,137.40 and 1,175,946,383.44 is: 1,761,624,832.65
Step by Step Solution
- Step 1: Write the proportion equation
1,509,501,185.97 : 2,261,306,137.40 = 1,175,946,383.44 : x - Step 2: Convert to fraction form
1,509,501,185.97/2,261,306,137.40 = 1,175,946,383.44/x - Step 3: Cross multiply
1,509,501,185.97x = 2,261,306,137.40 × 1,175,946,383.44 - Step 4: Simplify right side
1,509,501,185.97x = 2,659,174,774,126,205,952 - Step 5: Solve for x
x = 2,659,174,774,126,205,952/1,509,501,185.97 - Step 6: Final answer
x = 1,761,624,832.65
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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.