Finding the Fourth Proportional to 109,879,244,207.70, 164,818,866,311.55 and 27,161,515,439.70
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Solution
The fourth proportional to 109,879,244,207.70, 164,818,866,311.55 and 27,161,515,439.70 is: 40,742,273,159.55
Step by Step Solution
- Step 1: Write the proportion equation
109,879,244,207.70 : 164,818,866,311.55 = 27,161,515,439.70 : x - Step 2: Convert to fraction form
109,879,244,207.70/164,818,866,311.55 = 27,161,515,439.70/x - Step 3: Cross multiply
109,879,244,207.70x = 164,818,866,311.55 × 27,161,515,439.70 - Step 4: Simplify right side
109,879,244,207.70x = 4,476,730,182,075,015,495,680 - Step 5: Solve for x
x = 4,476,730,182,075,015,495,680/109,879,244,207.70 - Step 6: Final answer
x = 40,742,273,159.55
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Double scale
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1.5x scale
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.