Finding the Fourth Proportional to 2,006,750,084.40, 2,768,690,342.76 and 1,159,668,805.84
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Solution
The fourth proportional to 2,006,750,084.40, 2,768,690,342.76 and 1,159,668,805.84 is: 1,599,981,905.31
Step by Step Solution
- Step 1: Write the proportion equation
2,006,750,084.40 : 2,768,690,342.76 = 1,159,668,805.84 : x - Step 2: Convert to fraction form
2,006,750,084.40/2,768,690,342.76 = 1,159,668,805.84/x - Step 3: Cross multiply
2,006,750,084.40x = 2,768,690,342.76 × 1,159,668,805.84 - Step 4: Simplify right side
2,006,750,084.40x = 3,210,763,823,518,017,024 - Step 5: Solve for x
x = 3,210,763,823,518,017,024/2,006,750,084.40 - Step 6: Final answer
x = 1,599,981,905.31
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1.5x scale
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.