Finding the Fourth Proportional to 2,865,691,304,106.30, 4,299,140,742,409.50 and 929,357,201,213.69
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Solution
The fourth proportional to 2,865,691,304,106.30, 4,299,140,742,409.50 and 929,357,201,213.69 is: 1,394,231,612,548.19
Step by Step Solution
- Step 1: Write the proportion equation
2,865,691,304,106.30 : 4,299,140,742,409.50 = 929,357,201,213.69 : x - Step 2: Convert to fraction form
2,865,691,304,106.30/4,299,140,742,409.50 = 929,357,201,213.69/x - Step 3: Cross multiply
2,865,691,304,106.30x = 4,299,140,742,409.50 × 929,357,201,213.69 - Step 4: Simplify right side
2,865,691,304,106.30x = 3,995,437,407,989,438,055,710,720 - Step 5: Solve for x
x = 3,995,437,407,989,438,055,710,720/2,865,691,304,106.30 - Step 6: Final answer
x = 1,394,231,612,548.19
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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.