Finding the Fourth Proportional to 205,009,811,459.58, 307,402,614,107.20 and 162,785,941,984.26
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Solution
The fourth proportional to 205,009,811,459.58, 307,402,614,107.20 and 162,785,941,984.26 is: 244,089,898,671.66
Step by Step Solution
- Step 1: Write the proportion equation
205,009,811,459.58 : 307,402,614,107.20 = 162,785,941,984.26 : x - Step 2: Convert to fraction form
205,009,811,459.58/307,402,614,107.20 = 162,785,941,984.26/x - Step 3: Cross multiply
205,009,811,459.58x = 307,402,614,107.20 × 162,785,941,984.26 - Step 4: Simplify right side
205,009,811,459.58x = 50,040,824,105,864,529,969,152 - Step 5: Solve for x
x = 50,040,824,105,864,529,969,152/205,009,811,459.58 - Step 6: Final answer
x = 244,089,898,671.66
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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.