Finding the Fourth Proportional to 397,140,832,840.20, 595,707,323,531.52 and 181,948,335,342.84
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Solution
The fourth proportional to 397,140,832,840.20, 595,707,323,531.52 and 181,948,335,342.84 is: 272,920,704,458.79
Step by Step Solution
- Step 1: Write the proportion equation
397,140,832,840.20 : 595,707,323,531.52 = 181,948,335,342.84 : x - Step 2: Convert to fraction form
397,140,832,840.20/595,707,323,531.52 = 181,948,335,342.84/x - Step 3: Cross multiply
397,140,832,840.20x = 595,707,323,531.52 × 181,948,335,342.84 - Step 4: Simplify right side
397,140,832,840.20x = 108,387,955,868,098,686,353,408 - Step 5: Solve for x
x = 108,387,955,868,098,686,353,408/397,140,832,840.20 - Step 6: Final answer
x = 272,920,704,458.79
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.