Finding the Fourth Proportional to 298,335,294,615.92, 411,779,307,897.68 and 194,307,982,609.12
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Solution
The fourth proportional to 298,335,294,615.92, 411,779,307,897.68 and 194,307,982,609.12 is: 268,194,907,011.54
Step by Step Solution
- Step 1: Write the proportion equation
298,335,294,615.92 : 411,779,307,897.68 = 194,307,982,609.12 : x - Step 2: Convert to fraction form
298,335,294,615.92/411,779,307,897.68 = 194,307,982,609.12/x - Step 3: Cross multiply
298,335,294,615.92x = 411,779,307,897.68 × 194,307,982,609.12 - Step 4: Simplify right side
298,335,294,615.92x = 80,012,006,597,777,871,077,376 - Step 5: Solve for x
x = 80,012,006,597,777,871,077,376/298,335,294,615.92 - Step 6: Final answer
x = 268,194,907,011.54
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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.