Finding the Fourth Proportional to 48,943,777,467,516, 67,572,900,433,560 and 31,155,581,959,086
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Solution
The fourth proportional to 48,943,777,467,516, 67,572,900,433,560 and 31,155,581,959,086 is: 43,014,110,201,612.59
Step by Step Solution
- Step 1: Write the proportion equation
48,943,777,467,516 : 67,572,900,433,560 = 31,155,581,959,086 : x - Step 2: Convert to fraction form
48,943,777,467,516/67,572,900,433,560 = 31,155,581,959,086/x - Step 3: Cross multiply
48,943,777,467,516x = 67,572,900,433,560 × 31,155,581,959,086 - Step 4: Simplify right side
48,943,777,467,516x = 2,105,273,037,670,936,381,478,666,240 - Step 5: Solve for x
x = 2,105,273,037,670,936,381,478,666,240/48,943,777,467,516 - Step 6: Final answer
x = 43,014,110,201,612.59
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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.