Finding the Fourth Proportional to 106,720,698,075.27, 160,081,421,294.34 and 27,132,256,337.09
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Solution
The fourth proportional to 106,720,698,075.27, 160,081,421,294.34 and 27,132,256,337.09 is: 40,698,479,636.06
Step by Step Solution
- Step 1: Write the proportion equation
106,720,698,075.27 : 160,081,421,294.34 = 27,132,256,337.09 : x - Step 2: Convert to fraction form
106,720,698,075.27/160,081,421,294.34 = 27,132,256,337.09/x - Step 3: Cross multiply
106,720,698,075.27x = 160,081,421,294.34 × 27,132,256,337.09 - Step 4: Simplify right side
106,720,698,075.27x = 4,343,370,157,362,929,729,536 - Step 5: Solve for x
x = 4,343,370,157,362,929,729,536/106,720,698,075.27 - Step 6: Final answer
x = 40,698,479,636.06
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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.