Finding the Fourth Proportional to 10,640,303,341,296, 14,684,713,029,830 and 6,473,842,478,394.50
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Solution
The fourth proportional to 10,640,303,341,296, 14,684,713,029,830 and 6,473,842,478,394.50 is: 8,934,568,493,605.32
Step by Step Solution
- Step 1: Write the proportion equation
10,640,303,341,296 : 14,684,713,029,830 = 6,473,842,478,394.50 : x - Step 2: Convert to fraction form
10,640,303,341,296/14,684,713,029,830 = 6,473,842,478,394.50/x - Step 3: Cross multiply
10,640,303,341,296x = 14,684,713,029,830 × 6,473,842,478,394.50 - Step 4: Simplify right side
10,640,303,341,296x = 95,066,518,995,546,657,932,705,792 - Step 5: Solve for x
x = 95,066,518,995,546,657,932,705,792/10,640,303,341,296 - Step 6: Final answer
x = 8,934,568,493,605.32
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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.