Finding the Fourth Proportional to 19,713,246,239,779, 27,172,846,972,382 and 15,539,683,475,129
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Solution
The fourth proportional to 19,713,246,239,779, 27,172,846,972,382 and 15,539,683,475,129 is: 21,419,985,117,259.28
Step by Step Solution
- Step 1: Write the proportion equation
19,713,246,239,779 : 27,172,846,972,382 = 15,539,683,475,129 : x - Step 2: Convert to fraction form
19,713,246,239,779/27,172,846,972,382 = 15,539,683,475,129/x - Step 3: Cross multiply
19,713,246,239,779x = 27,172,846,972,382 × 15,539,683,475,129 - Step 4: Simplify right side
19,713,246,239,779x = 422,257,441,068,933,644,208,308,224 - Step 5: Solve for x
x = 422,257,441,068,933,644,208,308,224/19,713,246,239,779 - Step 6: Final answer
x = 21,419,985,117,259.28
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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.