Finding the Fourth Proportional to 341,192,236,542.47, 470,860,087,102.01 and 188,945,064,533.08
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Solution
The fourth proportional to 341,192,236,542.47, 470,860,087,102.01 and 188,945,064,533.08 is: 260,752,385,356.42
Step by Step Solution
- Step 1: Write the proportion equation
341,192,236,542.47 : 470,860,087,102.01 = 188,945,064,533.08 : x - Step 2: Convert to fraction form
341,192,236,542.47/470,860,087,102.01 = 188,945,064,533.08/x - Step 3: Cross multiply
341,192,236,542.47x = 470,860,087,102.01 × 188,945,064,533.08 - Step 4: Simplify right side
341,192,236,542.47x = 88,966,689,543,540,952,793,088 - Step 5: Solve for x
x = 88,966,689,543,540,952,793,088/341,192,236,542.47 - Step 6: Final answer
x = 260,752,385,356.42
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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.