Finding the Fourth Proportional to 350,947,365,984, 484,307,365,057.92 and 200,749,384,800
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Solution
The fourth proportional to 350,947,365,984, 484,307,365,057.92 and 200,749,384,800 is: 277,034,151,024
Step by Step Solution
- Step 1: Write the proportion equation
350,947,365,984 : 484,307,365,057.92 = 200,749,384,800 : x - Step 2: Convert to fraction form
350,947,365,984/484,307,365,057.92 = 200,749,384,800/x - Step 3: Cross multiply
350,947,365,984x = 484,307,365,057.92 × 200,749,384,800 - Step 4: Simplify right side
350,947,365,984x = 97,224,405,589,486,456,537,088 - Step 5: Solve for x
x = 97,224,405,589,486,456,537,088/350,947,365,984 - Step 6: Final answer
x = 277,034,151,024
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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.