Finding the Fourth Proportional to 138,035,275,033.26, 207,073,615,415.54 and 48,482,484,273.80
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Solution
The fourth proportional to 138,035,275,033.26, 207,073,615,415.54 and 48,482,484,273.80 is: 72,730,997,931.39
Step by Step Solution
- Step 1: Write the proportion equation
138,035,275,033.26 : 207,073,615,415.54 = 48,482,484,273.80 : x - Step 2: Convert to fraction form
138,035,275,033.26/207,073,615,415.54 = 48,482,484,273.80/x - Step 3: Cross multiply
138,035,275,033.26x = 207,073,615,415.54 × 48,482,484,273.80 - Step 4: Simplify right side
138,035,275,033.26x = 10,039,443,302,902,828,892,160 - Step 5: Solve for x
x = 10,039,443,302,902,828,892,160/138,035,275,033.26 - Step 6: Final answer
x = 72,730,997,931.39
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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.