Finding the Fourth Proportional to 699,780,550,103.64, 1,049,670,827,673.90 and 196,702,938,246.99
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Solution
The fourth proportional to 699,780,550,103.64, 1,049,670,827,673.90 and 196,702,938,246.99 is: 295,054,408,078.40
Step by Step Solution
- Step 1: Write the proportion equation
699,780,550,103.64 : 1,049,670,827,673.90 = 196,702,938,246.99 : x - Step 2: Convert to fraction form
699,780,550,103.64/1,049,670,827,673.90 = 196,702,938,246.99/x - Step 3: Cross multiply
699,780,550,103.64x = 1,049,670,827,673.90 × 196,702,938,246.99 - Step 4: Simplify right side
699,780,550,103.64x = 206,473,335,995,606,029,565,952 - Step 5: Solve for x
x = 206,473,335,995,606,029,565,952/699,780,550,103.64 - Step 6: Final answer
x = 295,054,408,078.40
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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.