Finding the Fourth Proportional to 56,079,636,420,998, 77,389,839,566,762 and 31,415,768,168,174
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Solution
The fourth proportional to 56,079,636,420,998, 77,389,839,566,762 and 31,415,768,168,174 is: 43,353,727,191,626.95
Step by Step Solution
- Step 1: Write the proportion equation
56,079,636,420,998 : 77,389,839,566,762 = 31,415,768,168,174 : x - Step 2: Convert to fraction form
56,079,636,420,998/77,389,839,566,762 = 31,415,768,168,174/x - Step 3: Cross multiply
56,079,636,420,998x = 77,389,839,566,762 × 31,415,768,168,174 - Step 4: Simplify right side
56,079,636,420,998x = 2,431,261,258,401,574,260,114,980,864 - Step 5: Solve for x
x = 2,431,261,258,401,574,260,114,980,864/56,079,636,420,998 - Step 6: Final answer
x = 43,353,727,191,626.95
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.