Finding the Fourth Proportional to 21,697,698,053,178, 29,922,710,365,846 and 15,835,519,825,170
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Solution
The fourth proportional to 21,697,698,053,178, 29,922,710,365,846 and 15,835,519,825,170 is: 21,838,338,429,258.95
Step by Step Solution
- Step 1: Write the proportion equation
21,697,698,053,178 : 29,922,710,365,846 = 15,835,519,825,170 : x - Step 2: Convert to fraction form
21,697,698,053,178/29,922,710,365,846 = 15,835,519,825,170/x - Step 3: Cross multiply
21,697,698,053,178x = 29,922,710,365,846 × 15,835,519,825,170 - Step 4: Simplify right side
21,697,698,053,178x = 473,841,673,221,174,177,535,361,024 - Step 5: Solve for x
x = 473,841,673,221,174,177,535,361,024/21,697,698,053,178 - Step 6: Final answer
x = 21,838,338,429,258.95
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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.