Finding the Fourth Proportional to 1,536,113,270.96, 2,119,836,316.26 and 831,265,252.14
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Solution
The fourth proportional to 1,536,113,270.96, 2,119,836,316.26 and 831,265,252.14 is: 1,147,146,049.22
Step by Step Solution
- Step 1: Write the proportion equation
1,536,113,270.96 : 2,119,836,316.26 = 831,265,252.14 : x - Step 2: Convert to fraction form
1,536,113,270.96/2,119,836,316.26 = 831,265,252.14/x - Step 3: Cross multiply
1,536,113,270.96x = 2,119,836,316.26 × 831,265,252.14 - Step 4: Simplify right side
1,536,113,270.96x = 1,762,146,269,931,397,632 - Step 5: Solve for x
x = 1,762,146,269,931,397,632/1,536,113,270.96 - Step 6: Final answer
x = 1,147,146,049.22
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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.