Finding the Fourth Proportional to 228,552,495,953.09, 342,602,293,560.53 and 107,324,040,176.21
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Solution
The fourth proportional to 228,552,495,953.09, 342,602,293,560.53 and 107,324,040,176.21 is: 160,879,723,344.17
Step by Step Solution
- Step 1: Write the proportion equation
228,552,495,953.09 : 342,602,293,560.53 = 107,324,040,176.21 : x - Step 2: Convert to fraction form
228,552,495,953.09/342,602,293,560.53 = 107,324,040,176.21/x - Step 3: Cross multiply
228,552,495,953.09x = 342,602,293,560.53 × 107,324,040,176.21 - Step 4: Simplify right side
228,552,495,953.09x = 36,769,462,318,552,018,059,264 - Step 5: Solve for x
x = 36,769,462,318,552,018,059,264/228,552,495,953.09 - Step 6: Final answer
x = 160,879,723,344.17
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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.