Finding the Fourth Proportional to 359,445,319,171.09, 496,050,132,935.06 and 199,053,236,725.09
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Solution
The fourth proportional to 359,445,319,171.09, 496,050,132,935.06 and 199,053,236,725.09 is: 274,702,101,466.61
Step by Step Solution
- Step 1: Write the proportion equation
359,445,319,171.09 : 496,050,132,935.06 = 199,053,236,725.09 : x - Step 2: Convert to fraction form
359,445,319,171.09/496,050,132,935.06 = 199,053,236,725.09/x - Step 3: Cross multiply
359,445,319,171.09x = 496,050,132,935.06 × 199,053,236,725.09 - Step 4: Simplify right side
359,445,319,171.09x = 98,740,384,538,634,867,441,664 - Step 5: Solve for x
x = 98,740,384,538,634,867,441,664/359,445,319,171.09 - Step 6: Final answer
x = 274,702,101,466.61
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1.5x scale
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.