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Finding the Fourth Proportional to 472,392,783.45, 708,589,175.18 and 472,392,783.45

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Solution

The fourth proportional to 472,392,783.45, 708,589,175.18 and 472,392,783.45 is: 708,589,175.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,783.45 : 708,589,175.18 = 472,392,783.45 : x
  2. Step 2: Convert to fraction form
    472,392,783.45/708,589,175.18 = 472,392,783.45/x
  3. Step 3: Cross multiply
    472,392,783.45x = 708,589,175.18 × 472,392,783.45
  4. Step 4: Simplify right side
    472,392,783.45x = 334,732,412,783,457,856
  5. Step 5: Solve for x
    x = 334,732,412,783,457,856/472,392,783.45
  6. Step 6: Final answer
    x = 708,589,175.18

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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.