Finding the Fourth Proportional to 380,415,303,581.08, 524,973,456,650.46 and 209,140,149,101.08
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Solution
The fourth proportional to 380,415,303,581.08, 524,973,456,650.46 and 209,140,149,101.08 is: 288,613,591,420.85
Step by Step Solution
- Step 1: Write the proportion equation
380,415,303,581.08 : 524,973,456,650.46 = 209,140,149,101.08 : x - Step 2: Convert to fraction form
380,415,303,581.08/524,973,456,650.46 = 209,140,149,101.08/x - Step 3: Cross multiply
380,415,303,581.08x = 524,973,456,650.46 × 209,140,149,101.08 - Step 4: Simplify right side
380,415,303,581.08x = 109,793,026,997,986,552,446,976 - Step 5: Solve for x
x = 109,793,026,997,986,552,446,976/380,415,303,581.08 - Step 6: Final answer
x = 288,613,591,420.85
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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.