Finding the Fourth Proportional to 842,831,516,481.75, 1,163,108,353,548.20 and 457,455,941,783.70
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Solution
The fourth proportional to 842,831,516,481.75, 1,163,108,353,548.20 and 457,455,941,783.70 is: 631,289,666,871.87
Step by Step Solution
- Step 1: Write the proportion equation
842,831,516,481.75 : 1,163,108,353,548.20 = 457,455,941,783.70 : x - Step 2: Convert to fraction form
842,831,516,481.75/1,163,108,353,548.20 = 457,455,941,783.70/x - Step 3: Cross multiply
842,831,516,481.75x = 1,163,108,353,548.20 × 457,455,941,783.70 - Step 4: Simplify right side
842,831,516,481.75x = 532,070,827,268,880,537,223,168 - Step 5: Solve for x
x = 532,070,827,268,880,537,223,168/842,831,516,481.75 - Step 6: Final answer
x = 631,289,666,871.87
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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.