Finding the Fourth Proportional to 982,318,286,248.20, 1,472,160,328,234.10 and 764,514,736,700.70
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Solution
The fourth proportional to 982,318,286,248.20, 1,472,160,328,234.10 and 764,514,736,700.70 is: 1,145,747,036,858.82
Step by Step Solution
- Step 1: Write the proportion equation
982,318,286,248.20 : 1,472,160,328,234.10 = 764,514,736,700.70 : x - Step 2: Convert to fraction form
982,318,286,248.20/1,472,160,328,234.10 = 764,514,736,700.70/x - Step 3: Cross multiply
982,318,286,248.20x = 1,472,160,328,234.10 × 764,514,736,700.70 - Step 4: Simplify right side
982,318,286,248.20x = 1,125,488,265,721,109,083,586,560 - Step 5: Solve for x
x = 1,125,488,265,721,109,083,586,560/982,318,286,248.20 - Step 6: Final answer
x = 1,145,747,036,858.82
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.