Finding the Fourth Proportional to 106,514,785.30, 159,772,177.95 and 106,514,785.30
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Solution
The fourth proportional to 106,514,785.30, 159,772,177.95 and 106,514,785.30 is: 159,772,177.95
Step by Step Solution
- Step 1: Write the proportion equation
106,514,785.30 : 159,772,177.95 = 106,514,785.30 : x - Step 2: Convert to fraction form
106,514,785.30/159,772,177.95 = 106,514,785.30/x - Step 3: Cross multiply
106,514,785.30x = 159,772,177.95 × 106,514,785.30 - Step 4: Simplify right side
106,514,785.30x = 17,018,099,231,257,642 - Step 5: Solve for x
x = 17,018,099,231,257,642/106,514,785.30 - Step 6: Final answer
x = 159,772,177.95
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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.