Finding the Fourth Proportional to 497,221,393.28, 744,386,563.92 and 289,326,203.60
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Solution
The fourth proportional to 497,221,393.28, 744,386,563.92 and 289,326,203.60 is: 433,148,173.95
Step by Step Solution
- Step 1: Write the proportion equation
497,221,393.28 : 744,386,563.92 = 289,326,203.60 : x - Step 2: Convert to fraction form
497,221,393.28/744,386,563.92 = 289,326,203.60/x - Step 3: Cross multiply
497,221,393.28x = 744,386,563.92 × 289,326,203.60 - Step 4: Simplify right side
497,221,393.28x = 215,370,538,549,822,336 - Step 5: Solve for x
x = 215,370,538,549,822,336/497,221,393.28 - Step 6: Final answer
x = 433,148,173.95
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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.