Finding the Fourth Proportional to 97,746,567,243.14, 146,540,728,527.43 and 30,559,228,291.05
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Solution
The fourth proportional to 97,746,567,243.14, 146,540,728,527.43 and 30,559,228,291.05 is: 45,814,105,838.28
Step by Step Solution
- Step 1: Write the proportion equation
97,746,567,243.14 : 146,540,728,527.43 = 30,559,228,291.05 : x - Step 2: Convert to fraction form
97,746,567,243.14/146,540,728,527.43 = 30,559,228,291.05/x - Step 3: Cross multiply
97,746,567,243.14x = 146,540,728,527.43 × 30,559,228,291.05 - Step 4: Simplify right side
97,746,567,243.14x = 4,478,171,577,006,223,261,696 - Step 5: Solve for x
x = 4,478,171,577,006,223,261,696/97,746,567,243.14 - Step 6: Final answer
x = 45,814,105,838.28
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.