Finding the Fourth Proportional to 812,469,012,636.48, 1,121,207,958,696.70 and 446,669,439,542.98
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Solution
The fourth proportional to 812,469,012,636.48, 1,121,207,958,696.70 and 446,669,439,542.98 is: 616,404,223,094.06
Step by Step Solution
- Step 1: Write the proportion equation
812,469,012,636.48 : 1,121,207,958,696.70 = 446,669,439,542.98 : x - Step 2: Convert to fraction form
812,469,012,636.48/1,121,207,958,696.70 = 446,669,439,542.98/x - Step 3: Cross multiply
812,469,012,636.48x = 1,121,207,958,696.70 × 446,669,439,542.98 - Step 4: Simplify right side
812,469,012,636.48x = 500,809,330,522,183,610,400,768 - Step 5: Solve for x
x = 500,809,330,522,183,610,400,768/812,469,012,636.48 - Step 6: Final answer
x = 616,404,223,094.06
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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.