Finding the Fourth Proportional to 269,583,925,634.84, 372,037,511,735.11 and 149,289,863,800.35
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Solution
The fourth proportional to 269,583,925,634.84, 372,037,511,735.11 and 149,289,863,800.35 is: 206,026,488,132.64
Step by Step Solution
- Step 1: Write the proportion equation
269,583,925,634.84 : 372,037,511,735.11 = 149,289,863,800.35 : x - Step 2: Convert to fraction form
269,583,925,634.84/372,037,511,735.11 = 149,289,863,800.35/x - Step 3: Cross multiply
269,583,925,634.84x = 372,037,511,735.11 × 149,289,863,800.35 - Step 4: Simplify right side
269,583,925,634.84x = 55,541,429,455,555,682,893,824 - Step 5: Solve for x
x = 55,541,429,455,555,682,893,824/269,583,925,634.84 - Step 6: Final answer
x = 206,026,488,132.64
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.