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Finding the Fourth Proportional to 566,916,982.71, 782,345,429.64 and 306,156,598.71

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Solution

The fourth proportional to 566,916,982.71, 782,345,429.64 and 306,156,598.71 is: 422,496,102.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,916,982.71 : 782,345,429.64 = 306,156,598.71 : x
  2. Step 2: Convert to fraction form
    566,916,982.71/782,345,429.64 = 306,156,598.71/x
  3. Step 3: Cross multiply
    566,916,982.71x = 782,345,429.64 × 306,156,598.71
  4. Step 4: Simplify right side
    566,916,982.71x = 239,520,215,754,896,000
  5. Step 5: Solve for x
    x = 239,520,215,754,896,000/566,916,982.71
  6. Step 6: Final answer
    x = 422,496,102.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.