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Finding the Fourth Proportional to 523,227,002.70, 784,840,504.05 and 368,258,807.10

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Solution

The fourth proportional to 523,227,002.70, 784,840,504.05 and 368,258,807.10 is: 552,388,210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,227,002.70 : 784,840,504.05 = 368,258,807.10 : x
  2. Step 2: Convert to fraction form
    523,227,002.70/784,840,504.05 = 368,258,807.10/x
  3. Step 3: Cross multiply
    523,227,002.70x = 784,840,504.05 × 368,258,807.10
  4. Step 4: Simplify right side
    523,227,002.70x = 289,024,427,785,215,744
  5. Step 5: Solve for x
    x = 289,024,427,785,215,744/523,227,002.70
  6. Step 6: Final answer
    x = 552,388,210.65

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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.