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Finding the Fourth Proportional to 355,135,448,276.80, 532,703,172,415.20 and 355,135,448,276.80

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Solution

The fourth proportional to 355,135,448,276.80, 532,703,172,415.20 and 355,135,448,276.80 is: 532,703,172,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,135,448,276.80 : 532,703,172,415.20 = 355,135,448,276.80 : x
  2. Step 2: Convert to fraction form
    355,135,448,276.80/532,703,172,415.20 = 355,135,448,276.80/x
  3. Step 3: Cross multiply
    355,135,448,276.80x = 532,703,172,415.20 × 355,135,448,276.80
  4. Step 4: Simplify right side
    355,135,448,276.80x = 189,181,779,934,145,524,269,056
  5. Step 5: Solve for x
    x = 189,181,779,934,145,524,269,056/355,135,448,276.80
  6. Step 6: Final answer
    x = 532,703,172,415.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.