Finding the Fourth Proportional to 1,612,205,276,439.90, 2,418,316,955,732.80 and 537,758,247,574.96
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Solution
The fourth proportional to 1,612,205,276,439.90, 2,418,316,955,732.80 and 537,758,247,574.96 is: 806,640,387,052.57
Step by Step Solution
- Step 1: Write the proportion equation
1,612,205,276,439.90 : 2,418,316,955,732.80 = 537,758,247,574.96 : x - Step 2: Convert to fraction form
1,612,205,276,439.90/2,418,316,955,732.80 = 537,758,247,574.96/x - Step 3: Cross multiply
1,612,205,276,439.90x = 2,418,316,955,732.80 × 537,758,247,574.96 - Step 4: Simplify right side
1,612,205,276,439.90x = 1,300,469,888,195,682,480,685,056 - Step 5: Solve for x
x = 1,300,469,888,195,682,480,685,056/1,612,205,276,439.90 - Step 6: Final answer
x = 806,640,387,052.57
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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.