Finding the Fourth Proportional to 964,427,470,892.75, 1,446,641,205,840.90 and 360,099,871,176.70
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Solution
The fourth proportional to 964,427,470,892.75, 1,446,641,205,840.90 and 360,099,871,176.70 is: 540,149,806,579.02
Step by Step Solution
- Step 1: Write the proportion equation
964,427,470,892.75 : 1,446,641,205,840.90 = 360,099,871,176.70 : x - Step 2: Convert to fraction form
964,427,470,892.75/1,446,641,205,840.90 = 360,099,871,176.70/x - Step 3: Cross multiply
964,427,470,892.75x = 1,446,641,205,840.90 × 360,099,871,176.70 - Step 4: Simplify right side
964,427,470,892.75x = 520,935,311,862,214,007,193,600 - Step 5: Solve for x
x = 520,935,311,862,214,007,193,600/964,427,470,892.75 - Step 6: Final answer
x = 540,149,806,579.02
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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.