Finding the Fourth Proportional to 4,266,952,806,435, 5,888,237,197,947.60 and 2,315,946,668,656.80
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Solution
The fourth proportional to 4,266,952,806,435, 5,888,237,197,947.60 and 2,315,946,668,656.80 is: 3,195,920,822,532.19
Step by Step Solution
- Step 1: Write the proportion equation
4,266,952,806,435 : 5,888,237,197,947.60 = 2,315,946,668,656.80 : x - Step 2: Convert to fraction form
4,266,952,806,435/5,888,237,197,947.60 = 2,315,946,668,656.80/x - Step 3: Cross multiply
4,266,952,806,435x = 5,888,237,197,947.60 × 2,315,946,668,656.80 - Step 4: Simplify right side
4,266,952,806,435x = 13,636,843,322,847,793,350,967,296 - Step 5: Solve for x
x = 13,636,843,322,847,793,350,967,296/4,266,952,806,435 - Step 6: Final answer
x = 3,195,920,822,532.19
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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.