Finding the Fourth Proportional to 21,544,402,807,556, 29,730,908,398,970 and 11,667,566,071,971
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Solution
The fourth proportional to 21,544,402,807,556, 29,730,908,398,970 and 11,667,566,071,971 is: 16,101,042,169,664.62
Step by Step Solution
- Step 1: Write the proportion equation
21,544,402,807,556 : 29,730,908,398,970 = 11,667,566,071,971 : x - Step 2: Convert to fraction form
21,544,402,807,556/29,730,908,398,970 = 11,667,566,071,971/x - Step 3: Cross multiply
21,544,402,807,556x = 29,730,908,398,970 × 11,667,566,071,971 - Step 4: Simplify right side
21,544,402,807,556x = 346,887,338,124,699,990,405,152,768 - Step 5: Solve for x
x = 346,887,338,124,699,990,405,152,768/21,544,402,807,556 - Step 6: Final answer
x = 16,101,042,169,664.62
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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.