Finding the Fourth Proportional to 4,446,622,863,932.40, 6,639,990,668,416.80 and 3,631,412,799,516
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Solution
The fourth proportional to 4,446,622,863,932.40, 6,639,990,668,416.80 and 3,631,412,799,516 is: 5,422,665,209,037.20
Step by Step Solution
- Step 1: Write the proportion equation
4,446,622,863,932.40 : 6,639,990,668,416.80 = 3,631,412,799,516 : x - Step 2: Convert to fraction form
4,446,622,863,932.40/6,639,990,668,416.80 = 3,631,412,799,516/x - Step 3: Cross multiply
4,446,622,863,932.40x = 6,639,990,668,416.80 × 3,631,412,799,516 - Step 4: Simplify right side
4,446,622,863,932.40x = 24,112,547,101,955,565,077,659,648 - Step 5: Solve for x
x = 24,112,547,101,955,565,077,659,648/4,446,622,863,932.40 - Step 6: Final answer
x = 5,422,665,209,037.20
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.