Finding the Fourth Proportional to 1,476,035,352,491.10, 2,211,635,251,060.90 and 786,104,848,248.20
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Solution
The fourth proportional to 1,476,035,352,491.10, 2,211,635,251,060.90 and 786,104,848,248.20 is: 1,177,869,615,711.72
Step by Step Solution
- Step 1: Write the proportion equation
1,476,035,352,491.10 : 2,211,635,251,060.90 = 786,104,848,248.20 : x - Step 2: Convert to fraction form
1,476,035,352,491.10/2,211,635,251,060.90 = 786,104,848,248.20/x - Step 3: Cross multiply
1,476,035,352,491.10x = 2,211,635,251,060.90 × 786,104,848,248.20 - Step 4: Simplify right side
1,476,035,352,491.10x = 1,738,577,193,415,598,277,656,576 - Step 5: Solve for x
x = 1,738,577,193,415,598,277,656,576/1,476,035,352,491.10 - Step 6: Final answer
x = 1,177,869,615,711.72
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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.