Finding the Fourth Proportional to 1,164,905,809.20, 1,747,358,713.80 and 552,685,777.20
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Solution
The fourth proportional to 1,164,905,809.20, 1,747,358,713.80 and 552,685,777.20 is: 829,028,665.80
Step by Step Solution
- Step 1: Write the proportion equation
1,164,905,809.20 : 1,747,358,713.80 = 552,685,777.20 : x - Step 2: Convert to fraction form
1,164,905,809.20/1,747,358,713.80 = 552,685,777.20/x - Step 3: Cross multiply
1,164,905,809.20x = 1,747,358,713.80 × 552,685,777.20 - Step 4: Simplify right side
1,164,905,809.20x = 965,740,308,783,745,408 - Step 5: Solve for x
x = 965,740,308,783,745,408/1,164,905,809.20 - Step 6: Final answer
x = 829,028,665.80
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1.5x scale
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.