Finding the Fourth Proportional to 399,997,842,535.53, 551,997,569,323.45 and 217,094,946,993.99
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Solution
The fourth proportional to 399,997,842,535.53, 551,997,569,323.45 and 217,094,946,993.99 is: 299,591,323,526.80
Step by Step Solution
- Step 1: Write the proportion equation
399,997,842,535.53 : 551,997,569,323.45 = 217,094,946,993.99 : x - Step 2: Convert to fraction form
399,997,842,535.53/551,997,569,323.45 = 217,094,946,993.99/x - Step 3: Cross multiply
399,997,842,535.53x = 551,997,569,323.45 × 217,094,946,993.99 - Step 4: Simplify right side
399,997,842,535.53x = 119,835,883,053,085,674,700,800 - Step 5: Solve for x
x = 119,835,883,053,085,674,700,800/399,997,842,535.53 - Step 6: Final answer
x = 299,591,323,526.80
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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.