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Finding the Fourth Proportional to 472,392,410.70, 708,588,616.05 and 411,926,234.70

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Solution

The fourth proportional to 472,392,410.70, 708,588,616.05 and 411,926,234.70 is: 617,889,352.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,410.70 : 708,588,616.05 = 411,926,234.70 : x
  2. Step 2: Convert to fraction form
    472,392,410.70/708,588,616.05 = 411,926,234.70/x
  3. Step 3: Cross multiply
    472,392,410.70x = 708,588,616.05 × 411,926,234.70
  4. Step 4: Simplify right side
    472,392,410.70x = 291,886,240,560,760,448
  5. Step 5: Solve for x
    x = 291,886,240,560,760,448/472,392,410.70
  6. Step 6: Final answer
    x = 617,889,352.05

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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.