Finding the Fourth Proportional to 1,954,282,557.24, 2,931,421,969.62 and 500,257,648.44
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Solution
The fourth proportional to 1,954,282,557.24, 2,931,421,969.62 and 500,257,648.44 is: 750,385,994.94
Step by Step Solution
- Step 1: Write the proportion equation
1,954,282,557.24 : 2,931,421,969.62 = 500,257,648.44 : x - Step 2: Convert to fraction form
1,954,282,557.24/2,931,421,969.62 = 500,257,648.44/x - Step 3: Cross multiply
1,954,282,557.24x = 2,931,421,969.62 × 500,257,648.44 - Step 4: Simplify right side
1,954,282,557.24x = 1,466,466,261,107,454,208 - Step 5: Solve for x
x = 1,466,466,261,107,454,208/1,954,282,557.24 - Step 6: Final answer
x = 750,385,994.94
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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.