Finding the Fourth Proportional to 7,886,198,871,658.40, 10,882,946,189,012 and 4,417,842,398,605
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Solution
The fourth proportional to 7,886,198,871,658.40, 10,882,946,189,012 and 4,417,842,398,605 is: 6,096,617,886,259.73
Step by Step Solution
- Step 1: Write the proportion equation
7,886,198,871,658.40 : 10,882,946,189,012 = 4,417,842,398,605 : x - Step 2: Convert to fraction form
7,886,198,871,658.40/10,882,946,189,012 = 4,417,842,398,605/x - Step 3: Cross multiply
7,886,198,871,658.40x = 10,882,946,189,012 × 4,417,842,398,605 - Step 4: Simplify right side
7,886,198,871,658.40x = 48,079,141,095,553,920,940,376,064 - Step 5: Solve for x
x = 48,079,141,095,553,920,940,376,064/7,886,198,871,658.40 - Step 6: Final answer
x = 6,096,617,886,259.73
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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.