Finding the Fourth Proportional to 3,824,117,965.60, 5,736,176,948.40 and 2,270,609,634.40
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Solution
The fourth proportional to 3,824,117,965.60, 5,736,176,948.40 and 2,270,609,634.40 is: 3,405,914,451.60
Step by Step Solution
- Step 1: Write the proportion equation
3,824,117,965.60 : 5,736,176,948.40 = 2,270,609,634.40 : x - Step 2: Convert to fraction form
3,824,117,965.60/5,736,176,948.40 = 2,270,609,634.40/x - Step 3: Cross multiply
3,824,117,965.60x = 5,736,176,948.40 × 2,270,609,634.40 - Step 4: Simplify right side
3,824,117,965.60x = 13,024,618,643,660,230,656 - Step 5: Solve for x
x = 13,024,618,643,660,230,656/3,824,117,965.60 - Step 6: Final answer
x = 3,405,914,451.60
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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.