Finding the Fourth Proportional to 399,396,874,731.90, 599,086,918,616.35 and 97,211,163,353.82
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Solution
The fourth proportional to 399,396,874,731.90, 599,086,918,616.35 and 97,211,163,353.82 is: 145,814,702,100.12
Step by Step Solution
- Step 1: Write the proportion equation
399,396,874,731.90 : 599,086,918,616.35 = 97,211,163,353.82 : x - Step 2: Convert to fraction form
399,396,874,731.90/599,086,918,616.35 = 97,211,163,353.82/x - Step 3: Cross multiply
399,396,874,731.90x = 599,086,918,616.35 × 97,211,163,353.82 - Step 4: Simplify right side
399,396,874,731.90x = 58,237,936,308,750,668,267,520 - Step 5: Solve for x
x = 58,237,936,308,750,668,267,520/399,396,874,731.90 - Step 6: Final answer
x = 145,814,702,100.12
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.