Finding the Fourth Proportional to 10,322,090,570,714, 14,244,486,382,286 and 5,697,583,593,628.80
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Solution
The fourth proportional to 10,322,090,570,714, 14,244,486,382,286 and 5,697,583,593,628.80 is: 7,862,666,129,054.09
Step by Step Solution
- Step 1: Write the proportion equation
10,322,090,570,714 : 14,244,486,382,286 = 5,697,583,593,628.80 : x - Step 2: Convert to fraction form
10,322,090,570,714/14,244,486,382,286 = 5,697,583,593,628.80/x - Step 3: Cross multiply
10,322,090,570,714x = 14,244,486,382,286 × 5,697,583,593,628.80 - Step 4: Simplify right side
10,322,090,570,714x = 81,159,151,911,381,576,424,882,176 - Step 5: Solve for x
x = 81,159,151,911,381,576,424,882,176/10,322,090,570,714 - Step 6: Final answer
x = 7,862,666,129,054.09
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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.