Finding the Fourth Proportional to 1,761,552,841.60, 2,642,245,281.60 and 596,907,107.20
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Solution
The fourth proportional to 1,761,552,841.60, 2,642,245,281.60 and 596,907,107.20 is: 895,332,203.67
Step by Step Solution
- Step 1: Write the proportion equation
1,761,552,841.60 : 2,642,245,281.60 = 596,907,107.20 : x - Step 2: Convert to fraction form
1,761,552,841.60/2,642,245,281.60 = 596,907,107.20/x - Step 3: Cross multiply
1,761,552,841.60x = 2,642,245,281.60 × 596,907,107.20 - Step 4: Simplify right side
1,761,552,841.60x = 1,577,174,987,552,705,536 - Step 5: Solve for x
x = 1,577,174,987,552,705,536/1,761,552,841.60 - Step 6: Final answer
x = 895,332,203.67
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1.5x scale
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.