Finding the Fourth Proportional to 1,702,733,714,982.30, 2,554,107,198,847.30 and 411,942,898,008.68
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Solution
The fourth proportional to 1,702,733,714,982.30, 2,554,107,198,847.30 and 411,942,898,008.68 is: 617,915,950,133.71
Step by Step Solution
- Step 1: Write the proportion equation
1,702,733,714,982.30 : 2,554,107,198,847.30 = 411,942,898,008.68 : x - Step 2: Convert to fraction form
1,702,733,714,982.30/2,554,107,198,847.30 = 411,942,898,008.68/x - Step 3: Cross multiply
1,702,733,714,982.30x = 2,554,107,198,847.30 × 411,942,898,008.68 - Step 4: Simplify right side
1,702,733,714,982.30x = 1,052,146,321,317,988,550,049,792 - Step 5: Solve for x
x = 1,052,146,321,317,988,550,049,792/1,702,733,714,982.30 - Step 6: Final answer
x = 617,915,950,133.71
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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.