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Finding the Fourth Proportional to 311,484,166.40, 467,226,249.60 and 311,484,166.40

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Solution

The fourth proportional to 311,484,166.40, 467,226,249.60 and 311,484,166.40 is: 467,226,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,484,166.40 : 467,226,249.60 = 311,484,166.40 : x
  2. Step 2: Convert to fraction form
    311,484,166.40/467,226,249.60 = 311,484,166.40/x
  3. Step 3: Cross multiply
    311,484,166.40x = 467,226,249.60 × 311,484,166.40
  4. Step 4: Simplify right side
    311,484,166.40x = 145,533,578,876,854,336
  5. Step 5: Solve for x
    x = 145,533,578,876,854,336/311,484,166.40
  6. Step 6: Final answer
    x = 467,226,249.60

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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.