Finding the Fourth Proportional to 1,656,969,616,867.10, 2,286,286,437,206.50 and 925,245,436,902.15
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Solution
The fourth proportional to 1,656,969,616,867.10, 2,286,286,437,206.50 and 925,245,436,902.15 is: 1,276,653,519,740.58
Step by Step Solution
- Step 1: Write the proportion equation
1,656,969,616,867.10 : 2,286,286,437,206.50 = 925,245,436,902.15 : x - Step 2: Convert to fraction form
1,656,969,616,867.10/2,286,286,437,206.50 = 925,245,436,902.15/x - Step 3: Cross multiply
1,656,969,616,867.10x = 2,286,286,437,206.50 × 925,245,436,902.15 - Step 4: Simplify right side
1,656,969,616,867.10x = 2,115,376,093,476,588,179,423,232 - Step 5: Solve for x
x = 2,115,376,093,476,588,179,423,232/1,656,969,616,867.10 - Step 6: Final answer
x = 1,276,653,519,740.58
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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.