Finding the Fourth Proportional to 774,757,935,382.28, 1,069,162,982,189 and 432,201,525,541.64
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Solution
The fourth proportional to 774,757,935,382.28, 1,069,162,982,189 and 432,201,525,541.64 is: 596,436,449,181.68
Step by Step Solution
- Step 1: Write the proportion equation
774,757,935,382.28 : 1,069,162,982,189 = 432,201,525,541.64 : x - Step 2: Convert to fraction form
774,757,935,382.28/1,069,162,982,189 = 432,201,525,541.64/x - Step 3: Cross multiply
774,757,935,382.28x = 1,069,162,982,189 × 432,201,525,541.64 - Step 4: Simplify right side
774,757,935,382.28x = 462,093,871,954,735,067,561,984 - Step 5: Solve for x
x = 462,093,871,954,735,067,561,984/774,757,935,382.28 - Step 6: Final answer
x = 596,436,449,181.68
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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.