Finding the Fourth Proportional to 803,126,101,445.25, 1,204,848,144,228.20 and 229,447,098,378.92
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Solution
The fourth proportional to 803,126,101,445.25, 1,204,848,144,228.20 and 229,447,098,378.92 is: 344,216,070,406.51
Step by Step Solution
- Step 1: Write the proportion equation
803,126,101,445.25 : 1,204,848,144,228.20 = 229,447,098,378.92 : x - Step 2: Convert to fraction form
803,126,101,445.25/1,204,848,144,228.20 = 229,447,098,378.92/x - Step 3: Cross multiply
803,126,101,445.25x = 1,204,848,144,228.20 × 229,447,098,378.92 - Step 4: Simplify right side
803,126,101,445.25x = 276,448,910,680,386,990,768,128 - Step 5: Solve for x
x = 276,448,910,680,386,990,768,128/803,126,101,445.25 - Step 6: Final answer
x = 344,216,070,406.51
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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.