Finding the Fourth Proportional to 150,871,195,315.02, 208,202,456,014.84 and 82,282,774,252.62
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Solution
The fourth proportional to 150,871,195,315.02, 208,202,456,014.84 and 82,282,774,252.62 is: 113,550,341,079.62
Step by Step Solution
- Step 1: Write the proportion equation
150,871,195,315.02 : 208,202,456,014.84 = 82,282,774,252.62 : x - Step 2: Convert to fraction form
150,871,195,315.02/208,202,456,014.84 = 82,282,774,252.62/x - Step 3: Cross multiply
150,871,195,315.02x = 208,202,456,014.84 × 82,282,774,252.62 - Step 4: Simplify right side
150,871,195,315.02x = 17,131,475,687,110,124,503,040 - Step 5: Solve for x
x = 17,131,475,687,110,124,503,040/150,871,195,315.02 - Step 6: Final answer
x = 113,550,341,079.62
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1.5x scale
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.