Finding the Fourth Proportional to 5,676,608,046,984, 8,514,912,168,841.60 and 1,378,802,770,005.40
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Solution
The fourth proportional to 5,676,608,046,984, 8,514,912,168,841.60 and 1,378,802,770,005.40 is: 2,068,204,178,900.32
Step by Step Solution
- Step 1: Write the proportion equation
5,676,608,046,984 : 8,514,912,168,841.60 = 1,378,802,770,005.40 : x - Step 2: Convert to fraction form
5,676,608,046,984/8,514,912,168,841.60 = 1,378,802,770,005.40/x - Step 3: Cross multiply
5,676,608,046,984x = 8,514,912,168,841.60 × 1,378,802,770,005.40 - Step 4: Simplify right side
5,676,608,046,984x = 11,740,384,484,751,485,884,694,528 - Step 5: Solve for x
x = 11,740,384,484,751,485,884,694,528/5,676,608,046,984 - Step 6: Final answer
x = 2,068,204,178,900.32
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.