Finding the Fourth Proportional to 17,706,792,183.12, 24,435,313,863.39 and 9,678,128,074.74
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Solution
The fourth proportional to 17,706,792,183.12, 24,435,313,863.39 and 9,678,128,074.74 is: 13,355,784,304.16
Step by Step Solution
- Step 1: Write the proportion equation
17,706,792,183.12 : 24,435,313,863.39 = 9,678,128,074.74 : x - Step 2: Convert to fraction form
17,706,792,183.12/24,435,313,863.39 = 9,678,128,074.74/x - Step 3: Cross multiply
17,706,792,183.12x = 24,435,313,863.39 × 9,678,128,074.74 - Step 4: Simplify right side
17,706,792,183.12x = 236,488,097,116,358,279,168 - Step 5: Solve for x
x = 236,488,097,116,358,279,168/17,706,792,183.12 - Step 6: Final answer
x = 13,355,784,304.16
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1.5x scale
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.