Finding the Fourth Proportional to 21,105,037,787,816, 31,639,425,584,464 and 7,334,835,457,868.40
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Solution
The fourth proportional to 21,105,037,787,816, 31,639,425,584,464 and 7,334,835,457,868.40 is: 10,995,951,913,314.74
Step by Step Solution
- Step 1: Write the proportion equation
21,105,037,787,816 : 31,639,425,584,464 = 7,334,835,457,868.40 : x - Step 2: Convert to fraction form
21,105,037,787,816/31,639,425,584,464 = 7,334,835,457,868.40/x - Step 3: Cross multiply
21,105,037,787,816x = 31,639,425,584,464 × 7,334,835,457,868.40 - Step 4: Simplify right side
21,105,037,787,816x = 232,069,980,643,515,174,574,096,384 - Step 5: Solve for x
x = 232,069,980,643,515,174,574,096,384/21,105,037,787,816 - Step 6: Final answer
x = 10,995,951,913,314.74
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.