Finding the Fourth Proportional to 165,492,721,260.24, 248,239,084,781.34 and 39,723,318,296.40
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Solution
The fourth proportional to 165,492,721,260.24, 248,239,084,781.34 and 39,723,318,296.40 is: 59,584,978,138.52
Step by Step Solution
- Step 1: Write the proportion equation
165,492,721,260.24 : 248,239,084,781.34 = 39,723,318,296.40 : x - Step 2: Convert to fraction form
165,492,721,260.24/248,239,084,781.34 = 39,723,318,296.40/x - Step 3: Cross multiply
165,492,721,260.24x = 248,239,084,781.34 × 39,723,318,296.40 - Step 4: Simplify right side
165,492,721,260.24x = 9,860,880,178,376,194,654,208 - Step 5: Solve for x
x = 9,860,880,178,376,194,654,208/165,492,721,260.24 - Step 6: Final answer
x = 59,584,978,138.52
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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.