Finding the Fourth Proportional to 10,498,829,791,969, 14,488,070,579,883 and 5,811,420,692,107.80
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Solution
The fourth proportional to 10,498,829,791,969, 14,488,070,579,883 and 5,811,420,692,107.80 is: 8,019,586,451,535.35
Step by Step Solution
- Step 1: Write the proportion equation
10,498,829,791,969 : 14,488,070,579,883 = 5,811,420,692,107.80 : x - Step 2: Convert to fraction form
10,498,829,791,969/14,488,070,579,883 = 5,811,420,692,107.80/x - Step 3: Cross multiply
10,498,829,791,969x = 14,488,070,579,883 × 5,811,420,692,107.80 - Step 4: Simplify right side
10,498,829,791,969x = 84,196,273,156,650,321,649,336,320 - Step 5: Solve for x
x = 84,196,273,156,650,321,649,336,320/10,498,829,791,969 - Step 6: Final answer
x = 8,019,586,451,535.35
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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.