Finding the Fourth Proportional to 252,514,248,277.23, 348,466,886,532.24 and 136,768,128,563.70
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Solution
The fourth proportional to 252,514,248,277.23, 348,466,886,532.24 and 136,768,128,563.70 is: 188,738,513,816.89
Step by Step Solution
- Step 1: Write the proportion equation
252,514,248,277.23 : 348,466,886,532.24 = 136,768,128,563.70 : x - Step 2: Convert to fraction form
252,514,248,277.23/348,466,886,532.24 = 136,768,128,563.70/x - Step 3: Cross multiply
252,514,248,277.23x = 348,466,886,532.24 × 136,768,128,563.70 - Step 4: Simplify right side
252,514,248,277.23x = 47,659,163,937,433,660,162,048 - Step 5: Solve for x
x = 47,659,163,937,433,660,162,048/252,514,248,277.23 - Step 6: Final answer
x = 188,738,513,816.89
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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.