Finding the Fourth Proportional to 296,512,916.84, 409,187,116.86 and 162,550,593.80
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Solution
The fourth proportional to 296,512,916.84, 409,187,116.86 and 162,550,593.80 is: 224,319,431.11
Step by Step Solution
- Step 1: Write the proportion equation
296,512,916.84 : 409,187,116.86 = 162,550,593.80 : x - Step 2: Convert to fraction form
296,512,916.84/409,187,116.86 = 162,550,593.80/x - Step 3: Cross multiply
296,512,916.84x = 409,187,116.86 × 162,550,593.80 - Step 4: Simplify right side
296,512,916.84x = 66,513,608,820,903,000 - Step 5: Solve for x
x = 66,513,608,820,903,000/296,512,916.84 - Step 6: Final answer
x = 224,319,431.11
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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.