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Finding the Fourth Proportional to 472,392,912.15, 707,313,909.83 and 472,392,912.15

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Solution

The fourth proportional to 472,392,912.15, 707,313,909.83 and 472,392,912.15 is: 707,313,909.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,912.15 : 707,313,909.83 = 472,392,912.15 : x
  2. Step 2: Convert to fraction form
    472,392,912.15/707,313,909.83 = 472,392,912.15/x
  3. Step 3: Cross multiply
    472,392,912.15x = 707,313,909.83 × 472,392,912.15
  4. Step 4: Simplify right side
    472,392,912.15x = 334,130,077,666,434,240
  5. Step 5: Solve for x
    x = 334,130,077,666,434,240/472,392,912.15
  6. Step 6: Final answer
    x = 707,313,909.83

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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.