Finding the Fourth Proportional to 3,546,637,163,075, 5,319,418,220,080.10 and 965,260,827,474.38
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Solution
The fourth proportional to 3,546,637,163,075, 5,319,418,220,080.10 and 965,260,827,474.38 is: 1,447,744,947,313.70
Step by Step Solution
- Step 1: Write the proportion equation
3,546,637,163,075 : 5,319,418,220,080.10 = 965,260,827,474.38 : x - Step 2: Convert to fraction form
3,546,637,163,075/5,319,418,220,080.10 = 965,260,827,474.38/x - Step 3: Cross multiply
3,546,637,163,075x = 5,319,418,220,080.10 × 965,260,827,474.38 - Step 4: Simplify right side
3,546,637,163,075x = 5,134,626,032,796,810,518,462,464 - Step 5: Solve for x
x = 5,134,626,032,796,810,518,462,464/3,546,637,163,075 - Step 6: Final answer
x = 1,447,744,947,313.70
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.