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Finding the Fourth Proportional to 256,572,327.60, 384,858,491.40 and 84,054,769.20

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Solution

The fourth proportional to 256,572,327.60, 384,858,491.40 and 84,054,769.20 is: 126,082,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,572,327.60 : 384,858,491.40 = 84,054,769.20 : x
  2. Step 2: Convert to fraction form
    256,572,327.60/384,858,491.40 = 84,054,769.20/x
  3. Step 3: Cross multiply
    256,572,327.60x = 384,858,491.40 × 84,054,769.20
  4. Step 4: Simplify right side
    256,572,327.60x = 32,349,191,669,287,184
  5. Step 5: Solve for x
    x = 32,349,191,669,287,184/256,572,327.60
  6. Step 6: Final answer
    x = 126,082,153.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.