Finding the Fourth Proportional to 149,153,414,542.94, 205,831,794,639.98 and 80,564,827,306.81
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Solution
The fourth proportional to 149,153,414,542.94, 205,831,794,639.98 and 80,564,827,306.81 is: 111,179,506,283.76
Step by Step Solution
- Step 1: Write the proportion equation
149,153,414,542.94 : 205,831,794,639.98 = 80,564,827,306.81 : x - Step 2: Convert to fraction form
149,153,414,542.94/205,831,794,639.98 = 80,564,827,306.81/x - Step 3: Cross multiply
149,153,414,542.94x = 205,831,794,639.98 × 80,564,827,306.81 - Step 4: Simplify right side
149,153,414,542.94x = 16,582,802,989,420,770,230,272 - Step 5: Solve for x
x = 16,582,802,989,420,770,230,272/149,153,414,542.94 - Step 6: Final answer
x = 111,179,506,283.76
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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.