Finding the Fourth Proportional to 3,119,190,657,838, 4,302,898,927,261.90 and 2,037,177,462,082.70
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Solution
The fourth proportional to 3,119,190,657,838, 4,302,898,927,261.90 and 2,037,177,462,082.70 is: 2,810,270,252,063.90
Step by Step Solution
- Step 1: Write the proportion equation
3,119,190,657,838 : 4,302,898,927,261.90 = 2,037,177,462,082.70 : x - Step 2: Convert to fraction form
3,119,190,657,838/4,302,898,927,261.90 = 2,037,177,462,082.70/x - Step 3: Cross multiply
3,119,190,657,838x = 4,302,898,927,261.90 × 2,037,177,462,082.70 - Step 4: Simplify right side
3,119,190,657,838x = 8,765,768,716,237,769,065,627,648 - Step 5: Solve for x
x = 8,765,768,716,237,769,065,627,648/3,119,190,657,838 - Step 6: Final answer
x = 2,810,270,252,063.90
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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.