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Finding the Fourth Proportional to 564,751,082,838.20, 847,126,624,257.30 and 564,751,082,838.20

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Solution

The fourth proportional to 564,751,082,838.20, 847,126,624,257.30 and 564,751,082,838.20 is: 847,126,624,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,751,082,838.20 : 847,126,624,257.30 = 564,751,082,838.20 : x
  2. Step 2: Convert to fraction form
    564,751,082,838.20/847,126,624,257.30 = 564,751,082,838.20/x
  3. Step 3: Cross multiply
    564,751,082,838.20x = 847,126,624,257.30 × 564,751,082,838.20
  4. Step 4: Simplify right side
    564,751,082,838.20x = 478,415,678,350,379,144,183,808
  5. Step 5: Solve for x
    x = 478,415,678,350,379,144,183,808/564,751,082,838.20
  6. Step 6: Final answer
    x = 847,126,624,257.30

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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.