Finding the Fourth Proportional to 534,305,350,014.18, 737,341,858,138.98 and 290,434,818,873.84
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Solution
The fourth proportional to 534,305,350,014.18, 737,341,858,138.98 and 290,434,818,873.84 is: 400,800,308,308.75
Step by Step Solution
- Step 1: Write the proportion equation
534,305,350,014.18 : 737,341,858,138.98 = 290,434,818,873.84 : x - Step 2: Convert to fraction form
534,305,350,014.18/737,341,858,138.98 = 290,434,818,873.84/x - Step 3: Cross multiply
534,305,350,014.18x = 737,341,858,138.98 × 290,434,818,873.84 - Step 4: Simplify right side
534,305,350,014.18x = 214,149,749,016,695,314,317,312 - Step 5: Solve for x
x = 214,149,749,016,695,314,317,312/534,305,350,014.18 - Step 6: Final answer
x = 400,800,308,308.75
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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.