Finding the Fourth Proportional to 399,997,842,539.53, 551,997,569,328.98 and 217,094,946,997.99
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Solution
The fourth proportional to 399,997,842,539.53, 551,997,569,328.98 and 217,094,946,997.99 is: 299,591,323,532.33
Step by Step Solution
- Step 1: Write the proportion equation
399,997,842,539.53 : 551,997,569,328.98 = 217,094,946,997.99 : x - Step 2: Convert to fraction form
399,997,842,539.53/551,997,569,328.98 = 217,094,946,997.99/x - Step 3: Cross multiply
399,997,842,539.53x = 551,997,569,328.98 × 217,094,946,997.99 - Step 4: Simplify right side
399,997,842,539.53x = 119,835,883,056,494,217,789,440 - Step 5: Solve for x
x = 119,835,883,056,494,217,789,440/399,997,842,539.53 - Step 6: Final answer
x = 299,591,323,532.33
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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.