Finding the Fourth Proportional to 18,270,348,750,669, 27,416,795,541,804 and 8,466,594,352,842
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Solution
The fourth proportional to 18,270,348,750,669, 27,416,795,541,804 and 8,466,594,352,842 is: 12,705,115,237,538.19
Step by Step Solution
- Step 1: Write the proportion equation
18,270,348,750,669 : 27,416,795,541,804 = 8,466,594,352,842 : x - Step 2: Convert to fraction form
18,270,348,750,669/27,416,795,541,804 = 8,466,594,352,842/x - Step 3: Cross multiply
18,270,348,750,669x = 27,416,795,541,804 × 8,466,594,352,842 - Step 4: Simplify right side
18,270,348,750,669x = 232,126,886,307,261,467,259,305,984 - Step 5: Solve for x
x = 232,126,886,307,261,467,259,305,984/18,270,348,750,669 - Step 6: Final answer
x = 12,705,115,237,538.19
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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.