Finding the Fourth Proportional to 368,534,471,192.13, 508,533,523,873.16 and 203,713,725,481.95
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Solution
The fourth proportional to 368,534,471,192.13, 508,533,523,873.16 and 203,713,725,481.95 is: 281,100,593,780.43
Step by Step Solution
- Step 1: Write the proportion equation
368,534,471,192.13 : 508,533,523,873.16 = 203,713,725,481.95 : x - Step 2: Convert to fraction form
368,534,471,192.13/508,533,523,873.16 = 203,713,725,481.95/x - Step 3: Cross multiply
368,534,471,192.13x = 508,533,523,873.16 × 203,713,725,481.95 - Step 4: Simplify right side
368,534,471,192.13x = 103,595,258,680,665,580,765,184 - Step 5: Solve for x
x = 103,595,258,680,665,580,765,184/368,534,471,192.13 - Step 6: Final answer
x = 281,100,593,780.43
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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.