Finding the Fourth Proportional to 2,317,656,259.20, 3,476,484,388.80 and 2,106,780,470.40
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Solution
The fourth proportional to 2,317,656,259.20, 3,476,484,388.80 and 2,106,780,470.40 is: 3,160,170,705.60
Step by Step Solution
- Step 1: Write the proportion equation
2,317,656,259.20 : 3,476,484,388.80 = 2,106,780,470.40 : x - Step 2: Convert to fraction form
2,317,656,259.20/3,476,484,388.80 = 2,106,780,470.40/x - Step 3: Cross multiply
2,317,656,259.20x = 3,476,484,388.80 × 2,106,780,470.40 - Step 4: Simplify right side
2,317,656,259.20x = 7,324,189,415,974,321,152 - Step 5: Solve for x
x = 7,324,189,415,974,321,152/2,317,656,259.20 - Step 6: Final answer
x = 3,160,170,705.60
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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.