Finding the Fourth Proportional to 444,013,676,233.14, 664,873,474,865.60 and 306,442,935,702.58
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Solution
The fourth proportional to 444,013,676,233.14, 664,873,474,865.60 and 306,442,935,702.58 is: 458,872,756,436.47
Step by Step Solution
- Step 1: Write the proportion equation
444,013,676,233.14 : 664,873,474,865.60 = 306,442,935,702.58 : x - Step 2: Convert to fraction form
444,013,676,233.14/664,873,474,865.60 = 306,442,935,702.58/x - Step 3: Cross multiply
444,013,676,233.14x = 664,873,474,865.60 × 306,442,935,702.58 - Step 4: Simplify right side
444,013,676,233.14x = 203,745,779,508,590,013,317,120 - Step 5: Solve for x
x = 203,745,779,508,590,013,317,120/444,013,676,233.14 - Step 6: Final answer
x = 458,872,756,436.47
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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.