Finding the Fourth Proportional to 228,552,495,950.84, 342,602,293,557.15 and 107,324,040,173.96
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Solution
The fourth proportional to 228,552,495,950.84, 342,602,293,557.15 and 107,324,040,173.96 is: 160,879,723,340.79
Step by Step Solution
- Step 1: Write the proportion equation
228,552,495,950.84 : 342,602,293,557.15 = 107,324,040,173.96 : x - Step 2: Convert to fraction form
228,552,495,950.84/342,602,293,557.15 = 107,324,040,173.96/x - Step 3: Cross multiply
228,552,495,950.84x = 342,602,293,557.15 × 107,324,040,173.96 - Step 4: Simplify right side
228,552,495,950.84x = 36,769,462,317,418,406,739,968 - Step 5: Solve for x
x = 36,769,462,317,418,406,739,968/228,552,495,950.84 - Step 6: Final answer
x = 160,879,723,340.79
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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.