Finding the Fourth Proportional to 1,702,733,714,986.80, 2,554,107,198,854.20 and 411,942,898,013.17
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Solution
The fourth proportional to 1,702,733,714,986.80, 2,554,107,198,854.20 and 411,942,898,013.17 is: 617,915,950,140.48
Step by Step Solution
- Step 1: Write the proportion equation
1,702,733,714,986.80 : 2,554,107,198,854.20 = 411,942,898,013.17 : x - Step 2: Convert to fraction form
1,702,733,714,986.80/2,554,107,198,854.20 = 411,942,898,013.17/x - Step 3: Cross multiply
1,702,733,714,986.80x = 2,554,107,198,854.20 × 411,942,898,013.17 - Step 4: Simplify right side
1,702,733,714,986.80x = 1,052,146,321,332,299,112,644,608 - Step 5: Solve for x
x = 1,052,146,321,332,299,112,644,608/1,702,733,714,986.80 - Step 6: Final answer
x = 617,915,950,140.48
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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.