Finding the Fourth Proportional to 902,850,608,338.96, 1,245,934,042,878.80 and 496,858,149,647.48
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Solution
The fourth proportional to 902,850,608,338.96, 1,245,934,042,878.80 and 496,858,149,647.48 is: 685,664,358,432.99
Step by Step Solution
- Step 1: Write the proportion equation
902,850,608,338.96 : 1,245,934,042,878.80 = 496,858,149,647.48 : x - Step 2: Convert to fraction form
902,850,608,338.96/1,245,934,042,878.80 = 496,858,149,647.48/x - Step 3: Cross multiply
902,850,608,338.96x = 1,245,934,042,878.80 × 496,858,149,647.48 - Step 4: Simplify right side
902,850,608,338.96x = 619,052,483,127,564,560,236,544 - Step 5: Solve for x
x = 619,052,483,127,564,560,236,544/902,850,608,338.96 - Step 6: Final answer
x = 685,664,358,432.99
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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.