Finding the Fourth Proportional to 1,529,198,623,319.50, 2,110,294,306,743.60 and 844,086,478,567.35
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Solution
The fourth proportional to 1,529,198,623,319.50, 2,110,294,306,743.60 and 844,086,478,567.35 is: 1,164,839,454,441.34
Step by Step Solution
- Step 1: Write the proportion equation
1,529,198,623,319.50 : 2,110,294,306,743.60 = 844,086,478,567.35 : x - Step 2: Convert to fraction form
1,529,198,623,319.50/2,110,294,306,743.60 = 844,086,478,567.35/x - Step 3: Cross multiply
1,529,198,623,319.50x = 2,110,294,306,743.60 × 844,086,478,567.35 - Step 4: Simplify right side
1,529,198,623,319.50x = 1,781,270,890,119,932,588,064,768 - Step 5: Solve for x
x = 1,781,270,890,119,932,588,064,768/1,529,198,623,319.50 - Step 6: Final answer
x = 1,164,839,454,441.34
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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.