Finding the Fourth Proportional to 1,702,733,714,987.70, 2,554,107,198,855.40 and 411,942,898,013.96
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Solution
The fourth proportional to 1,702,733,714,987.70, 2,554,107,198,855.40 and 411,942,898,013.96 is: 617,915,950,141.63
Step by Step Solution
- Step 1: Write the proportion equation
1,702,733,714,987.70 : 2,554,107,198,855.40 = 411,942,898,013.96 : x - Step 2: Convert to fraction form
1,702,733,714,987.70/2,554,107,198,855.40 = 411,942,898,013.96/x - Step 3: Cross multiply
1,702,733,714,987.70x = 2,554,107,198,855.40 × 411,942,898,013.96 - Step 4: Simplify right side
1,702,733,714,987.70x = 1,052,146,321,334,811,131,641,856 - Step 5: Solve for x
x = 1,052,146,321,334,811,131,641,856/1,702,733,714,987.70 - Step 6: Final answer
x = 617,915,950,141.63
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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.