Finding the Fourth Proportional to 446,783,436,938.49, 670,170,738,962.82 and 204,691,877,253.92
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Solution
The fourth proportional to 446,783,436,938.49, 670,170,738,962.82 and 204,691,877,253.92 is: 307,035,792,505.96
Step by Step Solution
- Step 1: Write the proportion equation
446,783,436,938.49 : 670,170,738,962.82 = 204,691,877,253.92 : x - Step 2: Convert to fraction form
446,783,436,938.49/670,170,738,962.82 = 204,691,877,253.92/x - Step 3: Cross multiply
446,783,436,938.49x = 670,170,738,962.82 × 204,691,877,253.92 - Step 4: Simplify right side
446,783,436,938.49x = 137,178,506,638,946,404,925,440 - Step 5: Solve for x
x = 137,178,506,638,946,404,925,440/446,783,436,938.49 - Step 6: Final answer
x = 307,035,792,505.96
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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.