Finding the Fourth Proportional to 22,987,800,339,762, 31,723,362,298,518 and 13,111,544,088,128
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Solution
The fourth proportional to 22,987,800,339,762, 31,723,362,298,518 and 13,111,544,088,128 is: 18,094,043,677,646.75
Step by Step Solution
- Step 1: Write the proportion equation
22,987,800,339,762 : 31,723,362,298,518 = 13,111,544,088,128 : x - Step 2: Convert to fraction form
22,987,800,339,762/31,723,362,298,518 = 13,111,544,088,128/x - Step 3: Cross multiply
22,987,800,339,762x = 31,723,362,298,518 × 13,111,544,088,128 - Step 4: Simplify right side
22,987,800,339,762x = 415,942,263,400,676,390,279,839,744 - Step 5: Solve for x
x = 415,942,263,400,676,390,279,839,744/22,987,800,339,762 - Step 6: Final answer
x = 18,094,043,677,646.75
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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.