Finding the Fourth Proportional to 562,149,821,344.10, 775,766,753,454.90 and 321,561,697,675.09
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Solution
The fourth proportional to 562,149,821,344.10, 775,766,753,454.90 and 321,561,697,675.09 is: 443,755,142,791.65
Step by Step Solution
- Step 1: Write the proportion equation
562,149,821,344.10 : 775,766,753,454.90 = 321,561,697,675.09 : x - Step 2: Convert to fraction form
562,149,821,344.10/775,766,753,454.90 = 321,561,697,675.09/x - Step 3: Cross multiply
562,149,821,344.10x = 775,766,753,454.90 × 321,561,697,675.09 - Step 4: Simplify right side
562,149,821,344.10x = 249,456,874,240,850,668,814,336 - Step 5: Solve for x
x = 249,456,874,240,850,668,814,336/562,149,821,344.10 - Step 6: Final answer
x = 443,755,142,791.65
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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.