Finding the Fourth Proportional to 815,624,378,548.95, 1,125,562,758,649.10 and 444,828,692,942.82
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Solution
The fourth proportional to 815,624,378,548.95, 1,125,562,758,649.10 and 444,828,692,942.82 is: 613,864,205,047.11
Step by Step Solution
- Step 1: Write the proportion equation
815,624,378,548.95 : 1,125,562,758,649.10 = 444,828,692,942.82 : x - Step 2: Convert to fraction form
815,624,378,548.95/1,125,562,758,649.10 = 444,828,692,942.82/x - Step 3: Cross multiply
815,624,378,548.95x = 1,125,562,758,649.10 × 444,828,692,942.82 - Step 4: Simplify right side
815,624,378,548.95x = 500,682,610,754,993,948,459,008 - Step 5: Solve for x
x = 500,682,610,754,993,948,459,008/815,624,378,548.95 - Step 6: Final answer
x = 613,864,205,047.11
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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.