Finding the Fourth Proportional to 16,029,074,197.98, 22,110,932,163.47 and 9,997,107,365.30
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Solution
The fourth proportional to 16,029,074,197.98, 22,110,932,163.47 and 9,997,107,365.30 is: 13,790,276,347.51
Step by Step Solution
- Step 1: Write the proportion equation
16,029,074,197.98 : 22,110,932,163.47 = 9,997,107,365.30 : x - Step 2: Convert to fraction form
16,029,074,197.98/22,110,932,163.47 = 9,997,107,365.30/x - Step 3: Cross multiply
16,029,074,197.98x = 22,110,932,163.47 × 9,997,107,365.30 - Step 4: Simplify right side
16,029,074,197.98x = 221,045,362,784,914,079,744 - Step 5: Solve for x
x = 221,045,362,784,914,079,744/16,029,074,197.98 - Step 6: Final answer
x = 13,790,276,347.51
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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.