Finding the Fourth Proportional to 772,792,967,400.24, 1,159,718,952,555.50 and 269,715,355,423.68
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Solution
The fourth proportional to 772,792,967,400.24, 1,159,718,952,555.50 and 269,715,355,423.68 is: 404,757,836,412.98
Step by Step Solution
- Step 1: Write the proportion equation
772,792,967,400.24 : 1,159,718,952,555.50 = 269,715,355,423.68 : x - Step 2: Convert to fraction form
772,792,967,400.24/1,159,718,952,555.50 = 269,715,355,423.68/x - Step 3: Cross multiply
772,792,967,400.24x = 1,159,718,952,555.50 × 269,715,355,423.68 - Step 4: Simplify right side
772,792,967,400.24x = 312,794,009,480,084,563,427,328 - Step 5: Solve for x
x = 312,794,009,480,084,563,427,328/772,792,967,400.24 - Step 6: Final answer
x = 404,757,836,412.98
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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.