Finding the Fourth Proportional to 1,869,745,756,920.80, 2,806,432,240,476.20 and 902,335,005,478.26
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Solution
The fourth proportional to 1,869,745,756,920.80, 2,806,432,240,476.20 and 902,335,005,478.26 is: 1,354,377,749,868.44
Step by Step Solution
- Step 1: Write the proportion equation
1,869,745,756,920.80 : 2,806,432,240,476.20 = 902,335,005,478.26 : x - Step 2: Convert to fraction form
1,869,745,756,920.80/2,806,432,240,476.20 = 902,335,005,478.26/x - Step 3: Cross multiply
1,869,745,756,920.80x = 2,806,432,240,476.20 × 902,335,005,478.26 - Step 4: Simplify right side
1,869,745,756,920.80x = 2,532,342,051,084,457,417,375,744 - Step 5: Solve for x
x = 2,532,342,051,084,457,417,375,744/1,869,745,756,920.80 - Step 6: Final answer
x = 1,354,377,749,868.44
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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.