Finding the Fourth Proportional to 424,962,832,114.28, 586,447,284,546.28 and 232,274,893,430.52
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Solution
The fourth proportional to 424,962,832,114.28, 586,447,284,546.28 and 232,274,893,430.52 is: 320,538,574,733.46
Step by Step Solution
- Step 1: Write the proportion equation
424,962,832,114.28 : 586,447,284,546.28 = 232,274,893,430.52 : x - Step 2: Convert to fraction form
424,962,832,114.28/586,447,284,546.28 = 232,274,893,430.52/x - Step 3: Cross multiply
424,962,832,114.28x = 586,447,284,546.28 × 232,274,893,430.52 - Step 4: Simplify right side
424,962,832,114.28x = 136,216,980,520,605,027,663,872 - Step 5: Solve for x
x = 136,216,980,520,605,027,663,872/424,962,832,114.28 - Step 6: Final answer
x = 320,538,574,733.46
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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.