Finding the Fourth Proportional to 361,023,079,525.70, 498,205,147,323.74 and 198,439,249,752.68
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Solution
The fourth proportional to 361,023,079,525.70, 498,205,147,323.74 and 198,439,249,752.68 is: 273,842,480,618.50
Step by Step Solution
- Step 1: Write the proportion equation
361,023,079,525.70 : 498,205,147,323.74 = 198,439,249,752.68 : x - Step 2: Convert to fraction form
361,023,079,525.70/498,205,147,323.74 = 198,439,249,752.68/x - Step 3: Cross multiply
361,023,079,525.70x = 498,205,147,323.74 × 198,439,249,752.68 - Step 4: Simplify right side
361,023,079,525.70x = 98,863,455,657,846,363,914,240 - Step 5: Solve for x
x = 98,863,455,657,846,363,914,240/361,023,079,525.70 - Step 6: Final answer
x = 273,842,480,618.50
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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.