Finding the Fourth Proportional to 138,035,275,253.10, 207,073,615,745.70 and 48,482,484,493.68
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Solution
The fourth proportional to 138,035,275,253.10, 207,073,615,745.70 and 48,482,484,493.68 is: 72,730,998,261.37
Step by Step Solution
- Step 1: Write the proportion equation
138,035,275,253.10 : 207,073,615,745.70 = 48,482,484,493.68 : x - Step 2: Convert to fraction form
138,035,275,253.10/207,073,615,745.70 = 48,482,484,493.68/x - Step 3: Cross multiply
138,035,275,253.10x = 207,073,615,745.70 × 48,482,484,493.68 - Step 4: Simplify right side
138,035,275,253.10x = 10,039,443,364,441,151,766,528 - Step 5: Solve for x
x = 10,039,443,364,441,151,766,528/138,035,275,253.10 - Step 6: Final answer
x = 72,730,998,261.37
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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.