Finding the Fourth Proportional to 461,735,404,771.65, 692,718,467,823.45 and 325,862,822,668.65
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Solution
The fourth proportional to 461,735,404,771.65, 692,718,467,823.45 and 325,862,822,668.65 is: 488,875,648,059.28
Step by Step Solution
- Step 1: Write the proportion equation
461,735,404,771.65 : 692,718,467,823.45 = 325,862,822,668.65 : x - Step 2: Convert to fraction form
461,735,404,771.65/692,718,467,823.45 = 325,862,822,668.65/x - Step 3: Cross multiply
461,735,404,771.65x = 692,718,467,823.45 × 325,862,822,668.65 - Step 4: Simplify right side
461,735,404,771.65x = 225,731,195,239,651,820,437,504 - Step 5: Solve for x
x = 225,731,195,239,651,820,437,504/461,735,404,771.65 - Step 6: Final answer
x = 488,875,648,059.28
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.