Finding the Fourth Proportional to 890,488,245,841.80, 1,335,732,368,762.70 and 465,852,431,646.60
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Solution
The fourth proportional to 890,488,245,841.80, 1,335,732,368,762.70 and 465,852,431,646.60 is: 698,778,647,469.90
Step by Step Solution
- Step 1: Write the proportion equation
890,488,245,841.80 : 1,335,732,368,762.70 = 465,852,431,646.60 : x - Step 2: Convert to fraction form
890,488,245,841.80/1,335,732,368,762.70 = 465,852,431,646.60/x - Step 3: Cross multiply
890,488,245,841.80x = 1,335,732,368,762.70 × 465,852,431,646.60 - Step 4: Simplify right side
890,488,245,841.80x = 622,254,172,017,176,726,208,512 - Step 5: Solve for x
x = 622,254,172,017,176,726,208,512/890,488,245,841.80 - Step 6: Final answer
x = 698,778,647,469.90
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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.