Finding the Fourth Proportional to 4,964,748,092.40, 7,447,122,138.60 and 2,201,443,849.20
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Solution
The fourth proportional to 4,964,748,092.40, 7,447,122,138.60 and 2,201,443,849.20 is: 3,302,165,773.80
Step by Step Solution
- Step 1: Write the proportion equation
4,964,748,092.40 : 7,447,122,138.60 = 2,201,443,849.20 : x - Step 2: Convert to fraction form
4,964,748,092.40/7,447,122,138.60 = 2,201,443,849.20/x - Step 3: Cross multiply
4,964,748,092.40x = 7,447,122,138.60 × 2,201,443,849.20 - Step 4: Simplify right side
4,964,748,092.40x = 16,394,421,226,262,118,400 - Step 5: Solve for x
x = 16,394,421,226,262,118,400/4,964,748,092.40 - Step 6: Final answer
x = 3,302,165,773.80
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1.5x scale
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.