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Finding the Fourth Proportional to 766,785,989.10, 1,150,178,983.65 and 766,785,989.10

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Solution

The fourth proportional to 766,785,989.10, 1,150,178,983.65 and 766,785,989.10 is: 1,150,178,983.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,785,989.10 : 1,150,178,983.65 = 766,785,989.10 : x
  2. Step 2: Convert to fraction form
    766,785,989.10/1,150,178,983.65 = 766,785,989.10/x
  3. Step 3: Cross multiply
    766,785,989.10x = 1,150,178,983.65 × 766,785,989.10
  4. Step 4: Simplify right side
    766,785,989.10x = 881,941,129,620,098,048
  5. Step 5: Solve for x
    x = 881,941,129,620,098,048/766,785,989.10
  6. Step 6: Final answer
    x = 1,150,178,983.65

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1.5x scale

Why These Related Problems?

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