Finding the Fourth Proportional to 1,131,036,106.20, 1,696,554,159.30 and 313,148,407.20
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Solution
The fourth proportional to 1,131,036,106.20, 1,696,554,159.30 and 313,148,407.20 is: 469,722,610.80
Step by Step Solution
- Step 1: Write the proportion equation
1,131,036,106.20 : 1,696,554,159.30 = 313,148,407.20 : x - Step 2: Convert to fraction form
1,131,036,106.20/1,696,554,159.30 = 313,148,407.20/x - Step 3: Cross multiply
1,131,036,106.20x = 1,696,554,159.30 × 313,148,407.20 - Step 4: Simplify right side
1,131,036,106.20x = 531,273,232,713,330,048 - Step 5: Solve for x
x = 531,273,232,713,330,048/1,131,036,106.20 - Step 6: Final answer
x = 469,722,610.80
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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.