Finding the Fourth Proportional to 3,415,275,698,862, 5,122,733,122,429 and 1,120,237,839,993.40
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Solution
The fourth proportional to 3,415,275,698,862, 5,122,733,122,429 and 1,120,237,839,993.40 is: 1,680,297,578,858.62
Step by Step Solution
- Step 1: Write the proportion equation
3,415,275,698,862 : 5,122,733,122,429 = 1,120,237,839,993.40 : x - Step 2: Convert to fraction form
3,415,275,698,862/5,122,733,122,429 = 1,120,237,839,993.40/x - Step 3: Cross multiply
3,415,275,698,862x = 5,122,733,122,429 × 1,120,237,839,993.40 - Step 4: Simplify right side
3,415,275,698,862x = 5,738,679,487,932,507,761,934,336 - Step 5: Solve for x
x = 5,738,679,487,932,507,761,934,336/3,415,275,698,862 - Step 6: Final answer
x = 1,680,297,578,858.62
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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.