Finding the Fourth Proportional to 308,292,157,423.66, 425,408,672,461.32 and 171,120,765,168
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Solution
The fourth proportional to 308,292,157,423.66, 425,408,672,461.32 and 171,120,765,168 is: 236,127,503,693.34
Step by Step Solution
- Step 1: Write the proportion equation
308,292,157,423.66 : 425,408,672,461.32 = 171,120,765,168 : x - Step 2: Convert to fraction form
308,292,157,423.66/425,408,672,461.32 = 171,120,765,168/x - Step 3: Cross multiply
308,292,157,423.66x = 425,408,672,461.32 × 171,120,765,168 - Step 4: Simplify right side
308,292,157,423.66x = 72,796,257,540,684,168,298,496 - Step 5: Solve for x
x = 72,796,257,540,684,168,298,496/308,292,157,423.66 - Step 6: Final answer
x = 236,127,503,693.34
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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.