Finding the Fourth Proportional to 62,182,285,112,996, 85,814,250,878,658 and 34,435,238,014,298
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Solution
The fourth proportional to 62,182,285,112,996, 85,814,250,878,658 and 34,435,238,014,298 is: 47,522,122,235,544.41
Step by Step Solution
- Step 1: Write the proportion equation
62,182,285,112,996 : 85,814,250,878,658 = 34,435,238,014,298 : x - Step 2: Convert to fraction form
62,182,285,112,996/85,814,250,878,658 = 34,435,238,014,298/x - Step 3: Cross multiply
62,182,285,112,996x = 85,814,250,878,658 × 34,435,238,014,298 - Step 4: Simplify right side
62,182,285,112,996x = 2,955,034,154,025,269,750,692,577,280 - Step 5: Solve for x
x = 2,955,034,154,025,269,750,692,577,280/62,182,285,112,996 - Step 6: Final answer
x = 47,522,122,235,544.41
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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.