Finding the Fourth Proportional to 589,915,965,080.57, 814,075,368,036.12 and 329,497,474,718.09
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Solution
The fourth proportional to 589,915,965,080.57, 814,075,368,036.12 and 329,497,474,718.09 is: 454,701,675,960.69
Step by Step Solution
- Step 1: Write the proportion equation
589,915,965,080.57 : 814,075,368,036.12 = 329,497,474,718.09 : x - Step 2: Convert to fraction form
589,915,965,080.57/814,075,368,036.12 = 329,497,474,718.09/x - Step 3: Cross multiply
589,915,965,080.57x = 814,075,368,036.12 × 329,497,474,718.09 - Step 4: Simplify right side
589,915,965,080.57x = 268,235,777,998,101,296,447,488 - Step 5: Solve for x
x = 268,235,777,998,101,296,447,488/589,915,965,080.57 - Step 6: Final answer
x = 454,701,675,960.69
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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.