Finding the Fourth Proportional to 898,642,968,149.02, 1,347,945,566,890.20 and 218,725,117,548.35
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Solution
The fourth proportional to 898,642,968,149.02, 1,347,945,566,890.20 and 218,725,117,548.35 is: 328,083,079,728.66
Step by Step Solution
- Step 1: Write the proportion equation
898,642,968,149.02 : 1,347,945,566,890.20 = 218,725,117,548.35 : x - Step 2: Convert to fraction form
898,642,968,149.02/1,347,945,566,890.20 = 218,725,117,548.35/x - Step 3: Cross multiply
898,642,968,149.02x = 1,347,945,566,890.20 × 218,725,117,548.35 - Step 4: Simplify right side
898,642,968,149.02x = 294,829,552,566,836,284,882,944 - Step 5: Solve for x
x = 294,829,552,566,836,284,882,944/898,642,968,149.02 - Step 6: Final answer
x = 328,083,079,728.66
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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.