Finding the Fourth Proportional to 176,779,406,634.78, 264,990,394,609.11 and 76,115,921,491.74
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Solution
The fourth proportional to 176,779,406,634.78, 264,990,394,609.11 and 76,115,921,491.74 is: 114,096,932,759.84
Step by Step Solution
- Step 1: Write the proportion equation
176,779,406,634.78 : 264,990,394,609.11 = 76,115,921,491.74 : x - Step 2: Convert to fraction form
176,779,406,634.78/264,990,394,609.11 = 76,115,921,491.74/x - Step 3: Cross multiply
176,779,406,634.78x = 264,990,394,609.11 × 76,115,921,491.74 - Step 4: Simplify right side
176,779,406,634.78x = 20,169,988,072,132,220,813,312 - Step 5: Solve for x
x = 20,169,988,072,132,220,813,312/176,779,406,634.78 - Step 6: Final answer
x = 114,096,932,759.84
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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.