Finding the Fourth Proportional to 3,165,741,306.46, 4,748,652,371.54 and 836,658,165.81
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Solution
The fourth proportional to 3,165,741,306.46, 4,748,652,371.54 and 836,658,165.81 is: 1,254,997,928.96
Step by Step Solution
- Step 1: Write the proportion equation
3,165,741,306.46 : 4,748,652,371.54 = 836,658,165.81 : x - Step 2: Convert to fraction form
3,165,741,306.46/4,748,652,371.54 = 836,658,165.81/x - Step 3: Cross multiply
3,165,741,306.46x = 4,748,652,371.54 × 836,658,165.81 - Step 4: Simplify right side
3,165,741,306.46x = 3,972,998,783,241,962,496 - Step 5: Solve for x
x = 3,972,998,783,241,962,496/3,165,741,306.46 - Step 6: Final answer
x = 1,254,997,928.96
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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.