Finding the Fourth Proportional to 690,682,715,024.36, 953,078,182,686.90 and 382,027,430,954.24
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Solution
The fourth proportional to 690,682,715,024.36, 953,078,182,686.90 and 382,027,430,954.24 is: 527,162,475,200.46
Step by Step Solution
- Step 1: Write the proportion equation
690,682,715,024.36 : 953,078,182,686.90 = 382,027,430,954.24 : x - Step 2: Convert to fraction form
690,682,715,024.36/953,078,182,686.90 = 382,027,430,954.24/x - Step 3: Cross multiply
690,682,715,024.36x = 953,078,182,686.90 × 382,027,430,954.24 - Step 4: Simplify right side
690,682,715,024.36x = 364,102,009,630,412,207,292,416 - Step 5: Solve for x
x = 364,102,009,630,412,207,292,416/690,682,715,024.36 - Step 6: Final answer
x = 527,162,475,200.46
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1.5x scale
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.