Finding the Fourth Proportional to 1,193,341,178,460.10, 1,647,117,231,585.90 and 777,231,930,432.96
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Solution
The fourth proportional to 1,193,341,178,460.10, 1,647,117,231,585.90 and 777,231,930,432.96 is: 1,072,779,628,041.39
Step by Step Solution
- Step 1: Write the proportion equation
1,193,341,178,460.10 : 1,647,117,231,585.90 = 777,231,930,432.96 : x - Step 2: Convert to fraction form
1,193,341,178,460.10/1,647,117,231,585.90 = 777,231,930,432.96/x - Step 3: Cross multiply
1,193,341,178,460.10x = 1,647,117,231,585.90 × 777,231,930,432.96 - Step 4: Simplify right side
1,193,341,178,460.10x = 1,280,192,105,554,901,714,599,936 - Step 5: Solve for x
x = 1,280,192,105,554,901,714,599,936/1,193,341,178,460.10 - Step 6: Final answer
x = 1,072,779,628,041.39
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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.