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Finding the Fourth Proportional to 564,138,908.70, 846,208,363.05 and 564,138,908.70

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Solution

The fourth proportional to 564,138,908.70, 846,208,363.05 and 564,138,908.70 is: 846,208,363.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,138,908.70 : 846,208,363.05 = 564,138,908.70 : x
  2. Step 2: Convert to fraction form
    564,138,908.70/846,208,363.05 = 564,138,908.70/x
  3. Step 3: Cross multiply
    564,138,908.70x = 846,208,363.05 × 564,138,908.70
  4. Step 4: Simplify right side
    564,138,908.70x = 477,379,062,463,840,448
  5. Step 5: Solve for x
    x = 477,379,062,463,840,448/564,138,908.70
  6. Step 6: Final answer
    x = 846,208,363.05

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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.