Finding the Fourth Proportional to 48,985,029,807,783, 67,599,368,256,786 and 26,459,137,344,766
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Solution
The fourth proportional to 48,985,029,807,783, 67,599,368,256,786 and 26,459,137,344,766 is: 36,513,624,185,679.89
Step by Step Solution
- Step 1: Write the proportion equation
48,985,029,807,783 : 67,599,368,256,786 = 26,459,137,344,766 : x - Step 2: Convert to fraction form
48,985,029,807,783/67,599,368,256,786 = 26,459,137,344,766/x - Step 3: Cross multiply
48,985,029,807,783x = 67,599,368,256,786 × 26,459,137,344,766 - Step 4: Simplify right side
48,985,029,807,783x = 1,788,620,969,125,715,770,427,310,080 - Step 5: Solve for x
x = 1,788,620,969,125,715,770,427,310,080/48,985,029,807,783 - Step 6: Final answer
x = 36,513,624,185,679.89
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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.