Finding the Fourth Proportional to 2,125,766,412.90, 3,188,649,619.35 and 2,048,282,315.10
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Solution
The fourth proportional to 2,125,766,412.90, 3,188,649,619.35 and 2,048,282,315.10 is: 3,072,423,472.65
Step by Step Solution
- Step 1: Write the proportion equation
2,125,766,412.90 : 3,188,649,619.35 = 2,048,282,315.10 : x - Step 2: Convert to fraction form
2,125,766,412.90/3,188,649,619.35 = 2,048,282,315.10/x - Step 3: Cross multiply
2,125,766,412.90x = 3,188,649,619.35 × 2,048,282,315.10 - Step 4: Simplify right side
2,125,766,412.90x = 6,531,254,624,364,951,552 - Step 5: Solve for x
x = 6,531,254,624,364,951,552/2,125,766,412.90 - Step 6: Final answer
x = 3,072,423,472.65
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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.