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Finding the Fourth Proportional to 564,751,082,824.70, 847,126,624,237.05 and 564,751,082,824.70

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Solution

The fourth proportional to 564,751,082,824.70, 847,126,624,237.05 and 564,751,082,824.70 is: 847,126,624,237.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,751,082,824.70 : 847,126,624,237.05 = 564,751,082,824.70 : x
  2. Step 2: Convert to fraction form
    564,751,082,824.70/847,126,624,237.05 = 564,751,082,824.70/x
  3. Step 3: Cross multiply
    564,751,082,824.70x = 847,126,624,237.05 × 564,751,082,824.70
  4. Step 4: Simplify right side
    564,751,082,824.70x = 478,415,678,327,506,698,502,144
  5. Step 5: Solve for x
    x = 478,415,678,327,506,698,502,144/564,751,082,824.70
  6. Step 6: Final answer
    x = 847,126,624,237.05

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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.