Finding the Fourth Proportional to 10,876,045,027,316, 16,306,024,882,183 and 6,577,313,028,801.20
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Solution
The fourth proportional to 10,876,045,027,316, 16,306,024,882,183 and 6,577,313,028,801.20 is: 9,861,105,726,959.83
Step by Step Solution
- Step 1: Write the proportion equation
10,876,045,027,316 : 16,306,024,882,183 = 6,577,313,028,801.20 : x - Step 2: Convert to fraction form
10,876,045,027,316/16,306,024,882,183 = 6,577,313,028,801.20/x - Step 3: Cross multiply
10,876,045,027,316x = 16,306,024,882,183 × 6,577,313,028,801.20 - Step 4: Simplify right side
10,876,045,027,316x = 107,249,829,905,538,806,244,704,256 - Step 5: Solve for x
x = 107,249,829,905,538,806,244,704,256/10,876,045,027,316 - Step 6: Final answer
x = 9,861,105,726,959.83
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.