Finding the Fourth Proportional to 144,582,912,159.80, 216,874,368,239.70 and 144,582,912,159.80
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Solution
The fourth proportional to 144,582,912,159.80, 216,874,368,239.70 and 144,582,912,159.80 is: 216,874,368,239.70
Step by Step Solution
- Step 1: Write the proportion equation
144,582,912,159.80 : 216,874,368,239.70 = 144,582,912,159.80 : x - Step 2: Convert to fraction form
144,582,912,159.80/216,874,368,239.70 = 144,582,912,159.80/x - Step 3: Cross multiply
144,582,912,159.80x = 216,874,368,239.70 × 144,582,912,159.80 - Step 4: Simplify right side
144,582,912,159.80x = 31,356,327,732,912,664,346,624 - Step 5: Solve for x
x = 31,356,327,732,912,664,346,624/144,582,912,159.80 - Step 6: Final answer
x = 216,874,368,239.70
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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.