Finding the Fourth Proportional to 1,546,753,192,878.50, 2,134,423,230,236.10 and 852,254,885,851.02
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Solution
The fourth proportional to 1,546,753,192,878.50, 2,134,423,230,236.10 and 852,254,885,851.02 is: 1,176,058,749,914.30
Step by Step Solution
- Step 1: Write the proportion equation
1,546,753,192,878.50 : 2,134,423,230,236.10 = 852,254,885,851.02 : x - Step 2: Convert to fraction form
1,546,753,192,878.50/2,134,423,230,236.10 = 852,254,885,851.02/x - Step 3: Cross multiply
1,546,753,192,878.50x = 2,134,423,230,236.10 × 852,254,885,851.02 - Step 4: Simplify right side
1,546,753,192,878.50x = 1,819,072,626,442,632,947,564,544 - Step 5: Solve for x
x = 1,819,072,626,442,632,947,564,544/1,546,753,192,878.50 - Step 6: Final answer
x = 1,176,058,749,914.30
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.