Finding the Fourth Proportional to 66,042,782,199.48, 99,106,792,627.86 and 24,116,137,519.80
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Solution
The fourth proportional to 66,042,782,199.48, 99,106,792,627.86 and 24,116,137,519.80 is: 36,189,769,124.82
Step by Step Solution
- Step 1: Write the proportion equation
66,042,782,199.48 : 99,106,792,627.86 = 24,116,137,519.80 : x - Step 2: Convert to fraction form
66,042,782,199.48/99,106,792,627.86 = 24,116,137,519.80/x - Step 3: Cross multiply
66,042,782,199.48x = 99,106,792,627.86 × 24,116,137,519.80 - Step 4: Simplify right side
66,042,782,199.48x = 2,390,073,040,159,772,770,304 - Step 5: Solve for x
x = 2,390,073,040,159,772,770,304/66,042,782,199.48 - Step 6: Final answer
x = 36,189,769,124.82
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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.