Finding the Fourth Proportional to 9,746,732,388,616.20, 13,450,612,579,103 and 5,357,542,037,740.20
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Solution
The fourth proportional to 9,746,732,388,616.20, 13,450,612,579,103 and 5,357,542,037,740.20 is: 7,393,475,008,102.95
Step by Step Solution
- Step 1: Write the proportion equation
9,746,732,388,616.20 : 13,450,612,579,103 = 5,357,542,037,740.20 : x - Step 2: Convert to fraction form
9,746,732,388,616.20/13,450,612,579,103 = 5,357,542,037,740.20/x - Step 3: Cross multiply
9,746,732,388,616.20x = 13,450,612,579,103 × 5,357,542,037,740.20 - Step 4: Simplify right side
9,746,732,388,616.20x = 72,062,222,325,901,455,460,925,440 - Step 5: Solve for x
x = 72,062,222,325,901,455,460,925,440/9,746,732,388,616.20 - Step 6: Final answer
x = 7,393,475,008,102.95
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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.