Finding the Fourth Proportional to 1,688,668,760,546.80, 2,330,364,391,166.70 and 917,917,452,251.46
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Solution
The fourth proportional to 1,688,668,760,546.80, 2,330,364,391,166.70 and 917,917,452,251.46 is: 1,266,726,900,345.23
Step by Step Solution
- Step 1: Write the proportion equation
1,688,668,760,546.80 : 2,330,364,391,166.70 = 917,917,452,251.46 : x - Step 2: Convert to fraction form
1,688,668,760,546.80/2,330,364,391,166.70 = 917,917,452,251.46/x - Step 3: Cross multiply
1,688,668,760,546.80x = 2,330,364,391,166.70 × 917,917,452,251.46 - Step 4: Simplify right side
1,688,668,760,546.80x = 2,139,082,144,757,262,049,083,392 - Step 5: Solve for x
x = 2,139,082,144,757,262,049,083,392/1,688,668,760,546.80 - Step 6: Final answer
x = 1,266,726,900,345.23
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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.