Finding the Fourth Proportional to 99,864,079,308.24, 149,780,173,364.92 and 29,102,238,170.83
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Solution
The fourth proportional to 99,864,079,308.24, 149,780,173,364.92 and 29,102,238,170.83 is: 43,648,710,414.48
Step by Step Solution
- Step 1: Write the proportion equation
99,864,079,308.24 : 149,780,173,364.92 = 29,102,238,170.83 : x - Step 2: Convert to fraction form
99,864,079,308.24/149,780,173,364.92 = 29,102,238,170.83/x - Step 3: Cross multiply
99,864,079,308.24x = 149,780,173,364.92 × 29,102,238,170.83 - Step 4: Simplify right side
99,864,079,308.24x = 4,358,938,278,533,660,672,000 - Step 5: Solve for x
x = 4,358,938,278,533,660,672,000/99,864,079,308.24 - Step 6: Final answer
x = 43,648,710,414.48
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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.