Finding the Fourth Proportional to 3,098,469,265,032.30, 4,277,258,857,579.80 and 2,001,586,820,090
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Solution
The fourth proportional to 3,098,469,265,032.30, 4,277,258,857,579.80 and 2,001,586,820,090 is: 2,763,075,642,564.33
Step by Step Solution
- Step 1: Write the proportion equation
3,098,469,265,032.30 : 4,277,258,857,579.80 = 2,001,586,820,090 : x - Step 2: Convert to fraction form
3,098,469,265,032.30/4,277,258,857,579.80 = 2,001,586,820,090/x - Step 3: Cross multiply
3,098,469,265,032.30x = 4,277,258,857,579.80 × 2,001,586,820,090 - Step 4: Simplify right side
3,098,469,265,032.30x = 8,561,304,955,444,937,743,138,816 - Step 5: Solve for x
x = 8,561,304,955,444,937,743,138,816/3,098,469,265,032.30 - Step 6: Final answer
x = 2,763,075,642,564.33
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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.