Finding the Fourth Proportional to 949,876,178,805.32, 1,310,829,971,408.90 and 516,328,567,889.24
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Solution
The fourth proportional to 949,876,178,805.32, 1,310,829,971,408.90 and 516,328,567,889.24 is: 712,533,882,821.55
Step by Step Solution
- Step 1: Write the proportion equation
949,876,178,805.32 : 1,310,829,971,408.90 = 516,328,567,889.24 : x - Step 2: Convert to fraction form
949,876,178,805.32/1,310,829,971,408.90 = 516,328,567,889.24/x - Step 3: Cross multiply
949,876,178,805.32x = 1,310,829,971,408.90 × 516,328,567,889.24 - Step 4: Simplify right side
949,876,178,805.32x = 676,818,961,883,850,696,818,688 - Step 5: Solve for x
x = 676,818,961,883,850,696,818,688/949,876,178,805.32 - Step 6: Final answer
x = 712,533,882,821.55
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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.