Finding the Fourth Proportional to 906,472,656,563.70, 1,250,949,677,854.40 and 494,957,451,525.09
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Solution
The fourth proportional to 906,472,656,563.70, 1,250,949,677,854.40 and 494,957,451,525.09 is: 683,050,790,394.62
Step by Step Solution
- Step 1: Write the proportion equation
906,472,656,563.70 : 1,250,949,677,854.40 = 494,957,451,525.09 : x - Step 2: Convert to fraction form
906,472,656,563.70/1,250,949,677,854.40 = 494,957,451,525.09/x - Step 3: Cross multiply
906,472,656,563.70x = 1,250,949,677,854.40 × 494,957,451,525.09 - Step 4: Simplify right side
906,472,656,563.70x = 619,166,864,536,946,113,249,280 - Step 5: Solve for x
x = 619,166,864,536,946,113,249,280/906,472,656,563.70 - Step 6: Final answer
x = 683,050,790,394.62
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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.