Finding the Fourth Proportional to 842,831,516,475.68, 1,163,108,353,539.90 and 457,455,941,777.68
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Solution
The fourth proportional to 842,831,516,475.68, 1,163,108,353,539.90 and 457,455,941,777.68 is: 631,289,666,863.61
Step by Step Solution
- Step 1: Write the proportion equation
842,831,516,475.68 : 1,163,108,353,539.90 = 457,455,941,777.68 : x - Step 2: Convert to fraction form
842,831,516,475.68/1,163,108,353,539.90 = 457,455,941,777.68/x - Step 3: Cross multiply
842,831,516,475.68x = 1,163,108,353,539.90 × 457,455,941,777.68 - Step 4: Simplify right side
842,831,516,475.68x = 532,070,827,258,081,714,372,608 - Step 5: Solve for x
x = 532,070,827,258,081,714,372,608/842,831,516,475.68 - Step 6: Final answer
x = 631,289,666,863.61
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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.