Finding the Fourth Proportional to 735,414,758,564.45, 1,014,869,548,932.80 and 410,253,791,410.62
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Solution
The fourth proportional to 735,414,758,564.45, 1,014,869,548,932.80 and 410,253,791,410.62 is: 566,148,660,178.65
Step by Step Solution
- Step 1: Write the proportion equation
735,414,758,564.45 : 1,014,869,548,932.80 = 410,253,791,410.62 : x - Step 2: Convert to fraction form
735,414,758,564.45/1,014,869,548,932.80 = 410,253,791,410.62/x - Step 3: Cross multiply
735,414,758,564.45x = 1,014,869,548,932.80 × 410,253,791,410.62 - Step 4: Simplify right side
735,414,758,564.45x = 416,354,080,236,866,937,815,040 - Step 5: Solve for x
x = 416,354,080,236,866,937,815,040/735,414,758,564.45 - Step 6: Final answer
x = 566,148,660,178.65
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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.