Finding the Fourth Proportional to 146,766,357,487.99, 202,534,398,819.15 and 84,969,533,162.35
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Solution
The fourth proportional to 146,766,357,487.99, 202,534,398,819.15 and 84,969,533,162.35 is: 117,256,117,897.38
Step by Step Solution
- Step 1: Write the proportion equation
146,766,357,487.99 : 202,534,398,819.15 = 84,969,533,162.35 : x - Step 2: Convert to fraction form
146,766,357,487.99/202,534,398,819.15 = 84,969,533,162.35/x - Step 3: Cross multiply
146,766,357,487.99x = 202,534,398,819.15 × 84,969,533,162.35 - Step 4: Simplify right side
146,766,357,487.99x = 17,209,253,316,979,983,384,576 - Step 5: Solve for x
x = 17,209,253,316,979,983,384,576/146,766,357,487.99 - Step 6: Final answer
x = 117,256,117,897.38
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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.