Finding the Fourth Proportional to 566,317,027,898.19, 781,517,811,469.05 and 305,894,735,538.81
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Solution
The fourth proportional to 566,317,027,898.19, 781,517,811,469.05 and 305,894,735,538.81 is: 422,134,904,093.28
Step by Step Solution
- Step 1: Write the proportion equation
566,317,027,898.19 : 781,517,811,469.05 = 305,894,735,538.81 : x - Step 2: Convert to fraction form
566,317,027,898.19/781,517,811,469.05 = 305,894,735,538.81/x - Step 3: Cross multiply
566,317,027,898.19x = 781,517,811,469.05 × 305,894,735,538.81 - Step 4: Simplify right side
566,317,027,898.19x = 239,062,184,258,194,638,897,152 - Step 5: Solve for x
x = 239,062,184,258,194,638,897,152/566,317,027,898.19 - Step 6: Final answer
x = 422,134,904,093.28
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.