Finding the Fourth Proportional to 2,146,982,031,209.80, 3,220,451,823,942.70 and 983,630,427,378.52
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Solution
The fourth proportional to 2,146,982,031,209.80, 3,220,451,823,942.70 and 983,630,427,378.52 is: 1,475,435,917,901.80
Step by Step Solution
- Step 1: Write the proportion equation
2,146,982,031,209.80 : 3,220,451,823,942.70 = 983,630,427,378.52 : x - Step 2: Convert to fraction form
2,146,982,031,209.80/3,220,451,823,942.70 = 983,630,427,378.52/x - Step 3: Cross multiply
2,146,982,031,209.80x = 3,220,451,823,942.70 × 983,630,427,378.52 - Step 4: Simplify right side
2,146,982,031,209.80x = 3,167,734,403,936,692,327,153,664 - Step 5: Solve for x
x = 3,167,734,403,936,692,327,153,664/2,146,982,031,209.80 - Step 6: Final answer
x = 1,475,435,917,901.80
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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.