Finding the Fourth Proportional to 313,145,971,992.40, 469,526,723,985.49 and 121,694,466,168.06
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Solution
The fourth proportional to 313,145,971,992.40, 469,526,723,985.49 and 121,694,466,168.06 is: 182,466,993,471.14
Step by Step Solution
- Step 1: Write the proportion equation
313,145,971,992.40 : 469,526,723,985.49 = 121,694,466,168.06 : x - Step 2: Convert to fraction form
313,145,971,992.40/469,526,723,985.49 = 121,694,466,168.06/x - Step 3: Cross multiply
313,145,971,992.40x = 469,526,723,985.49 × 121,694,466,168.06 - Step 4: Simplify right side
313,145,971,992.40x = 57,138,804,027,052,255,084,544 - Step 5: Solve for x
x = 57,138,804,027,052,255,084,544/313,145,971,992.40 - Step 6: Final answer
x = 182,466,993,471.14
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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.