Finding the Fourth Proportional to 1,163,951,826,088.40, 1,606,236,425,670.80 and 650,125,119,168.78
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Solution
The fourth proportional to 1,163,951,826,088.40, 1,606,236,425,670.80 and 650,125,119,168.78 is: 897,163,116,416.77
Step by Step Solution
- Step 1: Write the proportion equation
1,163,951,826,088.40 : 1,606,236,425,670.80 = 650,125,119,168.78 : x - Step 2: Convert to fraction form
1,163,951,826,088.40/1,606,236,425,670.80 = 650,125,119,168.78/x - Step 3: Cross multiply
1,163,951,826,088.40x = 1,606,236,425,670.80 × 650,125,119,168.78 - Step 4: Simplify right side
1,163,951,826,088.40x = 1,044,254,647,652,464,128,425,984 - Step 5: Solve for x
x = 1,044,254,647,652,464,128,425,984/1,163,951,826,088.40 - Step 6: Final answer
x = 897,163,116,416.77
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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.