Finding the Fourth Proportional to 399,396,874,730.90, 599,086,918,614.85 and 97,211,163,352.82
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Solution
The fourth proportional to 399,396,874,730.90, 599,086,918,614.85 and 97,211,163,352.82 is: 145,814,702,098.62
Step by Step Solution
- Step 1: Write the proportion equation
399,396,874,730.90 : 599,086,918,614.85 = 97,211,163,352.82 : x - Step 2: Convert to fraction form
399,396,874,730.90/599,086,918,614.85 = 97,211,163,352.82/x - Step 3: Cross multiply
399,396,874,730.90x = 599,086,918,614.85 × 97,211,163,352.82 - Step 4: Simplify right side
399,396,874,730.90x = 58,237,936,308,005,768,265,728 - Step 5: Solve for x
x = 58,237,936,308,005,768,265,728/399,396,874,730.90 - Step 6: Final answer
x = 145,814,702,098.62
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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.