Finding the Fourth Proportional to 301,087,293,561.53, 451,498,410,270.95 and 159,563,557,527.84
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Solution
The fourth proportional to 301,087,293,561.53, 451,498,410,270.95 and 159,563,557,527.84 is: 239,275,100,947.67
Step by Step Solution
- Step 1: Write the proportion equation
301,087,293,561.53 : 451,498,410,270.95 = 159,563,557,527.84 : x - Step 2: Convert to fraction form
301,087,293,561.53/451,498,410,270.95 = 159,563,557,527.84/x - Step 3: Cross multiply
301,087,293,561.53x = 451,498,410,270.95 × 159,563,557,527.84 - Step 4: Simplify right side
301,087,293,561.53x = 72,042,692,560,997,035,540,480 - Step 5: Solve for x
x = 72,042,692,560,997,035,540,480/301,087,293,561.53 - Step 6: Final answer
x = 239,275,100,947.67
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1.5x scale
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.