Finding the Fourth Proportional to 10,475,566,434,755, 14,456,127,830,982 and 5,851,126,072,480
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Solution
The fourth proportional to 10,475,566,434,755, 14,456,127,830,982 and 5,851,126,072,480 is: 8,074,468,047,697.58
Step by Step Solution
- Step 1: Write the proportion equation
10,475,566,434,755 : 14,456,127,830,982 = 5,851,126,072,480 : x - Step 2: Convert to fraction form
10,475,566,434,755/14,456,127,830,982 = 5,851,126,072,480/x - Step 3: Cross multiply
10,475,566,434,755x = 14,456,127,830,982 × 5,851,126,072,480 - Step 4: Simplify right side
10,475,566,434,755x = 84,584,626,458,962,524,473,655,296 - Step 5: Solve for x
x = 84,584,626,458,962,524,473,655,296/10,475,566,434,755 - Step 6: Final answer
x = 8,074,468,047,697.58
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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.