Finding the Fourth Proportional to 12,282,917,612,106, 16,950,959,128,938 and 6,802,019,419,772
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Solution
The fourth proportional to 12,282,917,612,106, 16,950,959,128,938 and 6,802,019,419,772 is: 9,387,081,866,050.92
Step by Step Solution
- Step 1: Write the proportion equation
12,282,917,612,106 : 16,950,959,128,938 = 6,802,019,419,772 : x - Step 2: Convert to fraction form
12,282,917,612,106/16,950,959,128,938 = 6,802,019,419,772/x - Step 3: Cross multiply
12,282,917,612,106x = 16,950,959,128,938 × 6,802,019,419,772 - Step 4: Simplify right side
12,282,917,612,106x = 115,300,753,178,797,738,003,791,872 - Step 5: Solve for x
x = 115,300,753,178,797,738,003,791,872/12,282,917,612,106 - Step 6: Final answer
x = 9,387,081,866,050.92
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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.