Finding the Fourth Proportional to 17,995,687,918,130, 24,833,626,920,148 and 10,588,600,300,164
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Solution
The fourth proportional to 17,995,687,918,130, 24,833,626,920,148 and 10,588,600,300,164 is: 14,612,019,871,489.54
Step by Step Solution
- Step 1: Write the proportion equation
17,995,687,918,130 : 24,833,626,920,148 = 10,588,600,300,164 : x - Step 2: Convert to fraction form
17,995,687,918,130/24,833,626,920,148 = 10,588,600,300,164/x - Step 3: Cross multiply
17,995,687,918,130x = 24,833,626,920,148 × 10,588,600,300,164 - Step 4: Simplify right side
17,995,687,918,130x = 262,953,349,460,839,890,256,134,144 - Step 5: Solve for x
x = 262,953,349,460,839,890,256,134,144/17,995,687,918,130 - Step 6: Final answer
x = 14,612,019,871,489.54
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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.