Finding the Fourth Proportional to 1,920,119,920,259.40, 2,880,349,198,470.60 and 541,735,992,483.15
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Solution
The fourth proportional to 1,920,119,920,259.40, 2,880,349,198,470.60 and 541,735,992,483.15 is: 812,651,759,542.56
Step by Step Solution
- Step 1: Write the proportion equation
1,920,119,920,259.40 : 2,880,349,198,470.60 = 541,735,992,483.15 : x - Step 2: Convert to fraction form
1,920,119,920,259.40/2,880,349,198,470.60 = 541,735,992,483.15/x - Step 3: Cross multiply
1,920,119,920,259.40x = 2,880,349,198,470.60 × 541,735,992,483.15 - Step 4: Simplify right side
1,920,119,920,259.40x = 1,560,388,831,731,516,096,643,072 - Step 5: Solve for x
x = 1,560,388,831,731,516,096,643,072/1,920,119,920,259.40 - Step 6: Final answer
x = 812,651,759,542.56
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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.