Finding the Fourth Proportional to 4,626,313,329,651, 6,384,226,507,049.80 and 2,542,890,464,141.60
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Solution
The fourth proportional to 4,626,313,329,651, 6,384,226,507,049.80 and 2,542,890,464,141.60 is: 3,509,141,631,555.18
Step by Step Solution
- Step 1: Write the proportion equation
4,626,313,329,651 : 6,384,226,507,049.80 = 2,542,890,464,141.60 : x - Step 2: Convert to fraction form
4,626,313,329,651/6,384,226,507,049.80 = 2,542,890,464,141.60/x - Step 3: Cross multiply
4,626,313,329,651x = 6,384,226,507,049.80 × 2,542,890,464,141.60 - Step 4: Simplify right side
4,626,313,329,651x = 16,234,388,705,696,972,118,425,600 - Step 5: Solve for x
x = 16,234,388,705,696,972,118,425,600/4,626,313,329,651 - Step 6: Final answer
x = 3,509,141,631,555.18
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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.