Finding the Fourth Proportional to 4,460,137,686,871.80, 6,154,990,303,865.40 and 2,482,513,475,120
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Solution
The fourth proportional to 4,460,137,686,871.80, 6,154,990,303,865.40 and 2,482,513,475,120 is: 3,425,868,760,409.41
Step by Step Solution
- Step 1: Write the proportion equation
4,460,137,686,871.80 : 6,154,990,303,865.40 = 2,482,513,475,120 : x - Step 2: Convert to fraction form
4,460,137,686,871.80/6,154,990,303,865.40 = 2,482,513,475,120/x - Step 3: Cross multiply
4,460,137,686,871.80x = 6,154,990,303,865.40 × 2,482,513,475,120 - Step 4: Simplify right side
4,460,137,686,871.80x = 15,279,846,368,578,800,107,651,072 - Step 5: Solve for x
x = 15,279,846,368,578,800,107,651,072/4,460,137,686,871.80 - Step 6: Final answer
x = 3,425,868,760,409.41
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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.