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Finding the Fourth Proportional to 472,392,509.40, 708,588,764.37 and 472,392,509.40

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Solution

The fourth proportional to 472,392,509.40, 708,588,764.37 and 472,392,509.40 is: 708,588,764.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,509.40 : 708,588,764.37 = 472,392,509.40 : x
  2. Step 2: Convert to fraction form
    472,392,509.40/708,588,764.37 = 472,392,509.40/x
  3. Step 3: Cross multiply
    472,392,509.40x = 708,588,764.37 × 472,392,509.40
  4. Step 4: Simplify right side
    472,392,509.40x = 334,732,024,533,389,568
  5. Step 5: Solve for x
    x = 334,732,024,533,389,568/472,392,509.40
  6. Step 6: Final answer
    x = 708,588,764.37

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1.5x scale

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.