Finding the Fourth Proportional to 310,930,394,587.20, 466,395,591,880.80 and 310,930,394,587.20
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Solution
The fourth proportional to 310,930,394,587.20, 466,395,591,880.80 and 310,930,394,587.20 is: 466,395,591,880.80
Step by Step Solution
- Step 1: Write the proportion equation
310,930,394,587.20 : 466,395,591,880.80 = 310,930,394,587.20 : x - Step 2: Convert to fraction form
310,930,394,587.20/466,395,591,880.80 = 310,930,394,587.20/x - Step 3: Cross multiply
310,930,394,587.20x = 466,395,591,880.80 × 310,930,394,587.20 - Step 4: Simplify right side
310,930,394,587.20x = 145,016,565,417,227,837,243,392 - Step 5: Solve for x
x = 145,016,565,417,227,837,243,392/310,930,394,587.20 - Step 6: Final answer
x = 466,395,591,880.80
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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.