Finding the Fourth Proportional to 428,634,431,507.91, 642,951,647,040.42 and 160,044,387,189.64
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Solution
The fourth proportional to 428,634,431,507.91, 642,951,647,040.42 and 160,044,387,189.64 is: 240,066,580,701.78
Step by Step Solution
- Step 1: Write the proportion equation
428,634,431,507.91 : 642,951,647,040.42 = 160,044,387,189.64 : x - Step 2: Convert to fraction form
428,634,431,507.91/642,951,647,040.42 = 160,044,387,189.64/x - Step 3: Cross multiply
428,634,431,507.91x = 642,951,647,040.42 × 160,044,387,189.64 - Step 4: Simplify right side
428,634,431,507.91x = 102,900,802,343,153,757,585,408 - Step 5: Solve for x
x = 102,900,802,343,153,757,585,408/428,634,431,507.91 - Step 6: Final answer
x = 240,066,580,701.78
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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.