Finding the Fourth Proportional to 817,216,823,601.05, 1,127,793,478,127.80 and 469,987,373,609.05
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Solution
The fourth proportional to 817,216,823,601.05, 1,127,793,478,127.80 and 469,987,373,609.05 is: 648,602,279,653.34
Step by Step Solution
- Step 1: Write the proportion equation
817,216,823,601.05 : 1,127,793,478,127.80 = 469,987,373,609.05 : x - Step 2: Convert to fraction form
817,216,823,601.05/1,127,793,478,127.80 = 469,987,373,609.05/x - Step 3: Cross multiply
817,216,823,601.05x = 1,127,793,478,127.80 × 469,987,373,609.05 - Step 4: Simplify right side
817,216,823,601.05x = 530,048,694,758,700,333,662,208 - Step 5: Solve for x
x = 530,048,694,758,700,333,662,208/817,216,823,601.05 - Step 6: Final answer
x = 648,602,279,653.34
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Double scale
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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.