Finding the Fourth Proportional to 690,682,715,028.38, 953,078,182,692.42 and 382,027,430,958.26
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Solution
The fourth proportional to 690,682,715,028.38, 953,078,182,692.42 and 382,027,430,958.26 is: 527,162,475,205.99
Step by Step Solution
- Step 1: Write the proportion equation
690,682,715,028.38 : 953,078,182,692.42 = 382,027,430,958.26 : x - Step 2: Convert to fraction form
690,682,715,028.38/953,078,182,692.42 = 382,027,430,958.26/x - Step 3: Cross multiply
690,682,715,028.38x = 953,078,182,692.42 × 382,027,430,958.26 - Step 4: Simplify right side
690,682,715,028.38x = 364,102,009,636,352,415,498,240 - Step 5: Solve for x
x = 364,102,009,636,352,415,498,240/690,682,715,028.38 - Step 6: Final answer
x = 527,162,475,205.99
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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.