Finding the Fourth Proportional to 304,322,335,186.68, 456,408,069,158.70 and 102,859,591,468.14
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Solution
The fourth proportional to 304,322,335,186.68, 456,408,069,158.70 and 102,859,591,468.14 is: 154,263,890,974.77
Step by Step Solution
- Step 1: Write the proportion equation
304,322,335,186.68 : 456,408,069,158.70 = 102,859,591,468.14 : x - Step 2: Convert to fraction form
304,322,335,186.68/456,408,069,158.70 = 102,859,591,468.14/x - Step 3: Cross multiply
304,322,335,186.68x = 456,408,069,158.70 × 102,859,591,468.14 - Step 4: Simplify right side
304,322,335,186.68x = 46,945,947,536,426,472,046,592 - Step 5: Solve for x
x = 46,945,947,536,426,472,046,592/304,322,335,186.68 - Step 6: Final answer
x = 154,263,890,974.77
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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.