Finding the Fourth Proportional to 971,598,204,899.20, 1,340,847,669,990.80 and 538,050,593,982
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Solution
The fourth proportional to 971,598,204,899.20, 1,340,847,669,990.80 and 538,050,593,982 is: 742,533,159,942.16
Step by Step Solution
- Step 1: Write the proportion equation
971,598,204,899.20 : 1,340,847,669,990.80 = 538,050,593,982 : x - Step 2: Convert to fraction form
971,598,204,899.20/1,340,847,669,990.80 = 538,050,593,982/x - Step 3: Cross multiply
971,598,204,899.20x = 1,340,847,669,990.80 × 538,050,593,982 - Step 4: Simplify right side
971,598,204,899.20x = 721,443,885,277,930,741,301,248 - Step 5: Solve for x
x = 721,443,885,277,930,741,301,248/971,598,204,899.20 - Step 6: Final answer
x = 742,533,159,942.16
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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.