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Finding the Fourth Proportional to 338,802,807.30, 507,247,617.15 and 338,802,807.30

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Solution

The fourth proportional to 338,802,807.30, 507,247,617.15 and 338,802,807.30 is: 507,247,617.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,802,807.30 : 507,247,617.15 = 338,802,807.30 : x
  2. Step 2: Convert to fraction form
    338,802,807.30/507,247,617.15 = 338,802,807.30/x
  3. Step 3: Cross multiply
    338,802,807.30x = 507,247,617.15 × 338,802,807.30
  4. Step 4: Simplify right side
    338,802,807.30x = 171,856,916,686,655,616
  5. Step 5: Solve for x
    x = 171,856,916,686,655,616/338,802,807.30
  6. Step 6: Final answer
    x = 507,247,617.15

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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.