Finding the Fourth Proportional to 764,377,324,783.92, 1,054,866,043,236 and 417,166,615,026
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Solution
The fourth proportional to 764,377,324,783.92, 1,054,866,043,236 and 417,166,615,026 is: 575,703,755,585.67
Step by Step Solution
- Step 1: Write the proportion equation
764,377,324,783.92 : 1,054,866,043,236 = 417,166,615,026 : x - Step 2: Convert to fraction form
764,377,324,783.92/1,054,866,043,236 = 417,166,615,026/x - Step 3: Cross multiply
764,377,324,783.92x = 1,054,866,043,236 × 417,166,615,026 - Step 4: Simplify right side
764,377,324,783.92x = 440,054,896,562,632,313,012,224 - Step 5: Solve for x
x = 440,054,896,562,632,313,012,224/764,377,324,783.92 - Step 6: Final answer
x = 575,703,755,585.67
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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.