Finding the Fourth Proportional to 690,682,715,027.36, 953,078,182,691.04 and 382,027,430,957.20
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Solution
The fourth proportional to 690,682,715,027.36, 953,078,182,691.04 and 382,027,430,957.20 is: 527,162,475,204.54
Step by Step Solution
- Step 1: Write the proportion equation
690,682,715,027.36 : 953,078,182,691.04 = 382,027,430,957.20 : x - Step 2: Convert to fraction form
690,682,715,027.36/953,078,182,691.04 = 382,027,430,957.20/x - Step 3: Cross multiply
690,682,715,027.36x = 953,078,182,691.04 × 382,027,430,957.20 - Step 4: Simplify right side
690,682,715,027.36x = 364,102,009,634,814,951,424,000 - Step 5: Solve for x
x = 364,102,009,634,814,951,424,000/690,682,715,027.36 - Step 6: Final answer
x = 527,162,475,204.54
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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.