Finding the Fourth Proportional to 1,163,951,826,089.40, 1,606,236,425,672.20 and 650,125,119,169.80
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Solution
The fourth proportional to 1,163,951,826,089.40, 1,606,236,425,672.20 and 650,125,119,169.80 is: 897,163,116,418.19
Step by Step Solution
- Step 1: Write the proportion equation
1,163,951,826,089.40 : 1,606,236,425,672.20 = 650,125,119,169.80 : x - Step 2: Convert to fraction form
1,163,951,826,089.40/1,606,236,425,672.20 = 650,125,119,169.80/x - Step 3: Cross multiply
1,163,951,826,089.40x = 1,606,236,425,672.20 × 650,125,119,169.80 - Step 4: Simplify right side
1,163,951,826,089.40x = 1,044,254,647,655,012,654,645,248 - Step 5: Solve for x
x = 1,044,254,647,655,012,654,645,248/1,163,951,826,089.40 - Step 6: Final answer
x = 897,163,116,418.19
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.