Finding the Fourth Proportional to 1,409,158,640,442.20, 2,112,872,905,412.70 and 547,626,868,966.80
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Solution
The fourth proportional to 1,409,158,640,442.20, 2,112,872,905,412.70 and 547,626,868,966.80 is: 821,104,125,900.86
Step by Step Solution
- Step 1: Write the proportion equation
1,409,158,640,442.20 : 2,112,872,905,412.70 = 547,626,868,966.80 : x - Step 2: Convert to fraction form
1,409,158,640,442.20/2,112,872,905,412.70 = 547,626,868,966.80/x - Step 3: Cross multiply
1,409,158,640,442.20x = 2,112,872,905,412.70 × 547,626,868,966.80 - Step 4: Simplify right side
1,409,158,640,442.20x = 1,157,065,973,715,942,594,576,384 - Step 5: Solve for x
x = 1,157,065,973,715,942,594,576,384/1,409,158,640,442.20 - Step 6: Final answer
x = 821,104,125,900.86
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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.