Finding the Fourth Proportional to 150,338,586,928.68, 207,471,181,989.86 and 81,754,011,293.49
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Solution
The fourth proportional to 150,338,586,928.68, 207,471,181,989.86 and 81,754,011,293.49 is: 112,822,673,819.06
Step by Step Solution
- Step 1: Write the proportion equation
150,338,586,928.68 : 207,471,181,989.86 = 81,754,011,293.49 : x - Step 2: Convert to fraction form
150,338,586,928.68/207,471,181,989.86 = 81,754,011,293.49/x - Step 3: Cross multiply
150,338,586,928.68x = 207,471,181,989.86 × 81,754,011,293.49 - Step 4: Simplify right side
150,338,586,928.68x = 16,961,601,355,472,732,946,432 - Step 5: Solve for x
x = 16,961,601,355,472,732,946,432/150,338,586,928.68 - Step 6: Final answer
x = 112,822,673,819.06
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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.