Finding the Fourth Proportional to 1,701,371,417,326.30, 2,347,899,629,812.70 and 920,104,544,823.44
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Solution
The fourth proportional to 1,701,371,417,326.30, 2,347,899,629,812.70 and 920,104,544,823.44 is: 1,269,748,097,434.75
Step by Step Solution
- Step 1: Write the proportion equation
1,701,371,417,326.30 : 2,347,899,629,812.70 = 920,104,544,823.44 : x - Step 2: Convert to fraction form
1,701,371,417,326.30/2,347,899,629,812.70 = 920,104,544,823.44/x - Step 3: Cross multiply
1,701,371,417,326.30x = 2,347,899,629,812.70 × 920,104,544,823.44 - Step 4: Simplify right side
1,701,371,417,326.30x = 2,160,313,120,179,937,716,731,904 - Step 5: Solve for x
x = 2,160,313,120,179,937,716,731,904/1,701,371,417,326.30 - Step 6: Final answer
x = 1,269,748,097,434.75
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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.