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Finding the Fourth Proportional to 564,138,908.20, 846,208,362.30 and 564,138,908.20

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Solution

The fourth proportional to 564,138,908.20, 846,208,362.30 and 564,138,908.20 is: 846,208,362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,138,908.20 : 846,208,362.30 = 564,138,908.20 : x
  2. Step 2: Convert to fraction form
    564,138,908.20/846,208,362.30 = 564,138,908.20/x
  3. Step 3: Cross multiply
    564,138,908.20x = 846,208,362.30 × 564,138,908.20
  4. Step 4: Simplify right side
    564,138,908.20x = 477,379,061,617,632,064
  5. Step 5: Solve for x
    x = 477,379,061,617,632,064/564,138,908.20
  6. Step 6: Final answer
    x = 846,208,362.30

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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.