Finding the Fourth Proportional to 153,540,878,236.74, 230,342,729,129.97 and 52,798,662,365.38
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Solution
The fourth proportional to 153,540,878,236.74, 230,342,729,129.97 and 52,798,662,365.38 is: 79,208,795,229.77
Step by Step Solution
- Step 1: Write the proportion equation
153,540,878,236.74 : 230,342,729,129.97 = 52,798,662,365.38 : x - Step 2: Convert to fraction form
153,540,878,236.74/230,342,729,129.97 = 52,798,662,365.38/x - Step 3: Cross multiply
153,540,878,236.74x = 230,342,729,129.97 × 52,798,662,365.38 - Step 4: Simplify right side
153,540,878,236.74x = 12,161,787,983,653,005,950,976 - Step 5: Solve for x
x = 12,161,787,983,653,005,950,976/153,540,878,236.74 - Step 6: Final answer
x = 79,208,795,229.77
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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.