Finding the Fourth Proportional to 246,829,310,466.84, 340,597,213,499.92 and 138,420,098,545.68
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Solution
The fourth proportional to 246,829,310,466.84, 340,597,213,499.92 and 138,420,098,545.68 is: 191,004,462,832.53
Step by Step Solution
- Step 1: Write the proportion equation
246,829,310,466.84 : 340,597,213,499.92 = 138,420,098,545.68 : x - Step 2: Convert to fraction form
246,829,310,466.84/340,597,213,499.92 = 138,420,098,545.68/x - Step 3: Cross multiply
246,829,310,466.84x = 340,597,213,499.92 × 138,420,098,545.68 - Step 4: Simplify right side
246,829,310,466.84x = 47,145,499,857,042,932,760,576 - Step 5: Solve for x
x = 47,145,499,857,042,932,760,576/246,829,310,466.84 - Step 6: Final answer
x = 191,004,462,832.53
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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.