Finding the Fourth Proportional to 1,180,477,655.82, 1,629,202,794.75 and 685,440,349.74
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Solution
The fourth proportional to 1,180,477,655.82, 1,629,202,794.75 and 685,440,349.74 is: 945,991,080.75
Step by Step Solution
- Step 1: Write the proportion equation
1,180,477,655.82 : 1,629,202,794.75 = 685,440,349.74 : x - Step 2: Convert to fraction form
1,180,477,655.82/1,629,202,794.75 = 685,440,349.74/x - Step 3: Cross multiply
1,180,477,655.82x = 1,629,202,794.75 × 685,440,349.74 - Step 4: Simplify right side
1,180,477,655.82x = 1,116,721,333,430,825,472 - Step 5: Solve for x
x = 1,116,721,333,430,825,472/1,180,477,655.82 - Step 6: Final answer
x = 945,991,080.75
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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.