Finding the Fourth Proportional to 559,674,107,302.44, 839,595,102,235.06 and 196,575,774,523.53
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Solution
The fourth proportional to 559,674,107,302.44, 839,595,102,235.06 and 196,575,774,523.53 is: 294,893,144,697.21
Step by Step Solution
- Step 1: Write the proportion equation
559,674,107,302.44 : 839,595,102,235.06 = 196,575,774,523.53 : x - Step 2: Convert to fraction form
559,674,107,302.44/839,595,102,235.06 = 196,575,774,523.53/x - Step 3: Cross multiply
559,674,107,302.44x = 839,595,102,235.06 × 196,575,774,523.53 - Step 4: Simplify right side
559,674,107,302.44x = 165,044,057,508,019,292,864,512 - Step 5: Solve for x
x = 165,044,057,508,019,292,864,512/559,674,107,302.44 - Step 6: Final answer
x = 294,893,144,697.21
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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.