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Finding the Fourth Proportional to 155,207,016,064.80, 232,810,524,097.20 and 155,207,016,064.80

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Solution

The fourth proportional to 155,207,016,064.80, 232,810,524,097.20 and 155,207,016,064.80 is: 232,810,524,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,207,016,064.80 : 232,810,524,097.20 = 155,207,016,064.80 : x
  2. Step 2: Convert to fraction form
    155,207,016,064.80/232,810,524,097.20 = 155,207,016,064.80/x
  3. Step 3: Cross multiply
    155,207,016,064.80x = 232,810,524,097.20 × 155,207,016,064.80
  4. Step 4: Simplify right side
    155,207,016,064.80x = 36,133,826,753,608,628,043,776
  5. Step 5: Solve for x
    x = 36,133,826,753,608,628,043,776/155,207,016,064.80
  6. Step 6: Final answer
    x = 232,810,524,097.20

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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.