Finding the Fourth Proportional to 7,350,394,914,812.70, 10,144,434,457,948 and 4,183,461,296,164.50
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Solution
The fourth proportional to 7,350,394,914,812.70, 10,144,434,457,948 and 4,183,461,296,164.50 is: 5,773,682,831,759.03
Step by Step Solution
- Step 1: Write the proportion equation
7,350,394,914,812.70 : 10,144,434,457,948 = 4,183,461,296,164.50 : x - Step 2: Convert to fraction form
7,350,394,914,812.70/10,144,434,457,948 = 4,183,461,296,164.50/x - Step 3: Cross multiply
7,350,394,914,812.70x = 10,144,434,457,948 × 4,183,461,296,164.50 - Step 4: Simplify right side
7,350,394,914,812.70x = 42,438,848,926,302,959,191,457,792 - Step 5: Solve for x
x = 42,438,848,926,302,959,191,457,792/7,350,394,914,812.70 - Step 6: Final answer
x = 5,773,682,831,759.03
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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.