Finding the Fourth Proportional to 7,082,324,833.36, 10,577,569,646.45 and 6,417,009,578.44
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Solution
The fourth proportional to 7,082,324,833.36, 10,577,569,646.45 and 6,417,009,578.44 is: 9,583,910,274.51
Step by Step Solution
- Step 1: Write the proportion equation
7,082,324,833.36 : 10,577,569,646.45 = 6,417,009,578.44 : x - Step 2: Convert to fraction form
7,082,324,833.36/10,577,569,646.45 = 6,417,009,578.44/x - Step 3: Cross multiply
7,082,324,833.36x = 10,577,569,646.45 × 6,417,009,578.44 - Step 4: Simplify right side
7,082,324,833.36x = 67,876,365,737,885,851,648 - Step 5: Solve for x
x = 67,876,365,737,885,851,648/7,082,324,833.36 - Step 6: Final answer
x = 9,583,910,274.51
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.