Finding the Fourth Proportional to 56,400,220,050,734, 84,638,974,317,900 and 19,684,451,271,900
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Solution
The fourth proportional to 56,400,220,050,734, 84,638,974,317,900 and 19,684,451,271,900 is: 29,540,164,278,891.24
Step by Step Solution
- Step 1: Write the proportion equation
56,400,220,050,734 : 84,638,974,317,900 = 19,684,451,271,900 : x - Step 2: Convert to fraction form
56,400,220,050,734/84,638,974,317,900 = 19,684,451,271,900/x - Step 3: Cross multiply
56,400,220,050,734x = 84,638,974,317,900 × 19,684,451,271,900 - Step 4: Simplify right side
56,400,220,050,734x = 1,666,071,765,664,298,066,014,896,128 - Step 5: Solve for x
x = 1,666,071,765,664,298,066,014,896,128/56,400,220,050,734 - Step 6: Final answer
x = 29,540,164,278,891.24
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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.