Finding the Fourth Proportional to 16,277,595,901.76, 24,408,010,303.21 and 7,306,094,122.68
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Solution
The fourth proportional to 16,277,595,901.76, 24,408,010,303.21 and 7,306,094,122.68 is: 10,955,378,281.84
Step by Step Solution
- Step 1: Write the proportion equation
16,277,595,901.76 : 24,408,010,303.21 = 7,306,094,122.68 : x - Step 2: Convert to fraction form
16,277,595,901.76/24,408,010,303.21 = 7,306,094,122.68/x - Step 3: Cross multiply
16,277,595,901.76x = 24,408,010,303.21 × 7,306,094,122.68 - Step 4: Simplify right side
16,277,595,901.76x = 178,327,220,622,700,380,160 - Step 5: Solve for x
x = 178,327,220,622,700,380,160/16,277,595,901.76 - Step 6: Final answer
x = 10,955,378,281.84
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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.