Finding the Fourth Proportional to 2,475,059,555,842, 3,415,582,351,310.50 and 1,377,618,614,070.40
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Solution
The fourth proportional to 2,475,059,555,842, 3,415,582,351,310.50 and 1,377,618,614,070.40 is: 1,901,113,778,837.92
Step by Step Solution
- Step 1: Write the proportion equation
2,475,059,555,842 : 3,415,582,351,310.50 = 1,377,618,614,070.40 : x - Step 2: Convert to fraction form
2,475,059,555,842/3,415,582,351,310.50 = 1,377,618,614,070.40/x - Step 3: Cross multiply
2,475,059,555,842x = 3,415,582,351,310.50 × 1,377,618,614,070.40 - Step 4: Simplify right side
2,475,059,555,842x = 4,705,369,825,055,688,991,178,752 - Step 5: Solve for x
x = 4,705,369,825,055,688,991,178,752/2,475,059,555,842 - Step 6: Final answer
x = 1,901,113,778,837.92
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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.