Finding the Fourth Proportional to 38,640,314,807,012, 57,956,176,285,272 and 13,828,185,668,606
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Solution
The fourth proportional to 38,640,314,807,012, 57,956,176,285,272 and 13,828,185,668,606 is: 20,740,741,122,786.28
Step by Step Solution
- Step 1: Write the proportion equation
38,640,314,807,012 : 57,956,176,285,272 = 13,828,185,668,606 : x - Step 2: Convert to fraction form
38,640,314,807,012/57,956,176,285,272 = 13,828,185,668,606/x - Step 3: Cross multiply
38,640,314,807,012x = 57,956,176,285,272 × 13,828,185,668,606 - Step 4: Simplify right side
38,640,314,807,012x = 801,428,766,315,201,242,538,704,896 - Step 5: Solve for x
x = 801,428,766,315,201,242,538,704,896/38,640,314,807,012 - Step 6: Final answer
x = 20,740,741,122,786.28
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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.