Finding the Fourth Proportional to 27,448,289,284.09, 40,987,596,719.45 and 22,416,128,392.63
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Solution
The fourth proportional to 27,448,289,284.09, 40,987,596,719.45 and 22,416,128,392.63 is: 33,473,242,031.92
Step by Step Solution
- Step 1: Write the proportion equation
27,448,289,284.09 : 40,987,596,719.45 = 22,416,128,392.63 : x - Step 2: Convert to fraction form
27,448,289,284.09/40,987,596,719.45 = 22,416,128,392.63/x - Step 3: Cross multiply
27,448,289,284.09x = 40,987,596,719.45 × 22,416,128,392.63 - Step 4: Simplify right side
27,448,289,284.09x = 918,783,230,568,531,361,792 - Step 5: Solve for x
x = 918,783,230,568,531,361,792/27,448,289,284.09 - Step 6: Final answer
x = 33,473,242,031.92
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.