Finding the Fourth Proportional to 11,566,802,901,083, 17,331,140,230,367 and 6,718,193,833,544.80
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Solution
The fourth proportional to 11,566,802,901,083, 17,331,140,230,367 and 6,718,193,833,544.80 is: 10,066,217,987,776.90
Step by Step Solution
- Step 1: Write the proportion equation
11,566,802,901,083 : 17,331,140,230,367 = 6,718,193,833,544.80 : x - Step 2: Convert to fraction form
11,566,802,901,083/17,331,140,230,367 = 6,718,193,833,544.80/x - Step 3: Cross multiply
11,566,802,901,083x = 17,331,140,230,367 × 6,718,193,833,544.80 - Step 4: Simplify right side
11,566,802,901,083x = 116,433,959,423,951,778,372,124,672 - Step 5: Solve for x
x = 116,433,959,423,951,778,372,124,672/11,566,802,901,083 - Step 6: Final answer
x = 10,066,217,987,776.90
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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.