Finding the Fourth Proportional to 2,037,128,694,496, 2,811,246,338,312.20 and 1,111,202,949,723.20
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Solution
The fourth proportional to 2,037,128,694,496, 2,811,246,338,312.20 and 1,111,202,949,723.20 is: 1,533,464,838,019.93
Step by Step Solution
- Step 1: Write the proportion equation
2,037,128,694,496 : 2,811,246,338,312.20 = 1,111,202,949,723.20 : x - Step 2: Convert to fraction form
2,037,128,694,496/2,811,246,338,312.20 = 1,111,202,949,723.20/x - Step 3: Cross multiply
2,037,128,694,496x = 2,811,246,338,312.20 × 1,111,202,949,723.20 - Step 4: Simplify right side
2,037,128,694,496x = 3,123,865,223,531,061,504,376,832 - Step 5: Solve for x
x = 3,123,865,223,531,061,504,376,832/2,037,128,694,496 - Step 6: Final answer
x = 1,533,464,838,019.93
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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.