Finding the Fourth Proportional to 745,161,344,775.74, 1,029,170,896,027.40 and 500,866,686,507.26
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Solution
The fourth proportional to 745,161,344,775.74, 1,029,170,896,027.40 and 500,866,686,507.26 is: 691,766,179,441.43
Step by Step Solution
- Step 1: Write the proportion equation
745,161,344,775.74 : 1,029,170,896,027.40 = 500,866,686,507.26 : x - Step 2: Convert to fraction form
745,161,344,775.74/1,029,170,896,027.40 = 500,866,686,507.26/x - Step 3: Cross multiply
745,161,344,775.74x = 1,029,170,896,027.40 × 500,866,686,507.26 - Step 4: Simplify right side
745,161,344,775.74x = 515,477,416,542,951,650,099,200 - Step 5: Solve for x
x = 515,477,416,542,951,650,099,200/745,161,344,775.74 - Step 6: Final answer
x = 691,766,179,441.43
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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.