Finding the Fourth Proportional to 5,527,469,337,819, 8,292,334,827,851.50 and 1,900,749,564,365.90
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Solution
The fourth proportional to 5,527,469,337,819, 8,292,334,827,851.50 and 1,900,749,564,365.90 is: 2,851,513,205,830.66
Step by Step Solution
- Step 1: Write the proportion equation
5,527,469,337,819 : 8,292,334,827,851.50 = 1,900,749,564,365.90 : x - Step 2: Convert to fraction form
5,527,469,337,819/8,292,334,827,851.50 = 1,900,749,564,365.90/x - Step 3: Cross multiply
5,527,469,337,819x = 8,292,334,827,851.50 × 1,900,749,564,365.90 - Step 4: Simplify right side
5,527,469,337,819x = 15,761,651,811,614,917,367,169,024 - Step 5: Solve for x
x = 15,761,651,811,614,917,367,169,024/5,527,469,337,819 - Step 6: Final answer
x = 2,851,513,205,830.66
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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.