Finding the Fourth Proportional to 29,682,910,258.17, 40,966,893,768.05 and 18,102,235,617.48
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Solution
The fourth proportional to 29,682,910,258.17, 40,966,893,768.05 and 18,102,235,617.48 is: 24,983,815,840.68
Step by Step Solution
- Step 1: Write the proportion equation
29,682,910,258.17 : 40,966,893,768.05 = 18,102,235,617.48 : x - Step 2: Convert to fraction form
29,682,910,258.17/40,966,893,768.05 = 18,102,235,617.48/x - Step 3: Cross multiply
29,682,910,258.17x = 40,966,893,768.05 × 18,102,235,617.48 - Step 4: Simplify right side
29,682,910,258.17x = 741,592,363,505,423,613,952 - Step 5: Solve for x
x = 741,592,363,505,423,613,952/29,682,910,258.17 - Step 6: Final answer
x = 24,983,815,840.68
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1.5x scale
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.