Finding the Fourth Proportional to 299,126,765.61, 412,863,811.29 and 175,407,300.81
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Solution
The fourth proportional to 299,126,765.61, 412,863,811.29 and 175,407,300.81 is: 242,102,463.12
Step by Step Solution
- Step 1: Write the proportion equation
299,126,765.61 : 412,863,811.29 = 175,407,300.81 : x - Step 2: Convert to fraction form
299,126,765.61/412,863,811.29 = 175,407,300.81/x - Step 3: Cross multiply
299,126,765.61x = 412,863,811.29 × 175,407,300.81 - Step 4: Simplify right side
299,126,765.61x = 72,419,326,740,508,112 - Step 5: Solve for x
x = 72,419,326,740,508,112/299,126,765.61 - Step 6: Final answer
x = 242,102,463.12
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.