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Finding the Fourth Proportional to 944,786,128.80, 1,414,628,276.40 and 944,786,128.80

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Solution

The fourth proportional to 944,786,128.80, 1,414,628,276.40 and 944,786,128.80 is: 1,414,628,276.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    944,786,128.80 : 1,414,628,276.40 = 944,786,128.80 : x
  2. Step 2: Convert to fraction form
    944,786,128.80/1,414,628,276.40 = 944,786,128.80/x
  3. Step 3: Cross multiply
    944,786,128.80x = 1,414,628,276.40 × 944,786,128.80
  4. Step 4: Simplify right side
    944,786,128.80x = 1,336,521,172,950,972,416
  5. Step 5: Solve for x
    x = 1,336,521,172,950,972,416/944,786,128.80
  6. Step 6: Final answer
    x = 1,414,628,276.40

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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.