Finding the Fourth Proportional to 214,814,651,148.84, 296,444,512,577.59 and 117,156,528,190.85
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Solution
The fourth proportional to 214,814,651,148.84, 296,444,512,577.59 and 117,156,528,190.85 is: 161,676,169,242.09
Step by Step Solution
- Step 1: Write the proportion equation
214,814,651,148.84 : 296,444,512,577.59 = 117,156,528,190.85 : x - Step 2: Convert to fraction form
214,814,651,148.84/296,444,512,577.59 = 117,156,528,190.85/x - Step 3: Cross multiply
214,814,651,148.84x = 296,444,512,577.59 × 117,156,528,190.85 - Step 4: Simplify right side
214,814,651,148.84x = 34,730,409,894,819,215,179,776 - Step 5: Solve for x
x = 34,730,409,894,819,215,179,776/214,814,651,148.84 - Step 6: Final answer
x = 161,676,169,242.09
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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.