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Finding the Fourth Proportional to 120,672,783,004.65, 181,009,174,506.97 and 120,672,783,004.65

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Solution

The fourth proportional to 120,672,783,004.65, 181,009,174,506.97 and 120,672,783,004.65 is: 181,009,174,506.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,672,783,004.65 : 181,009,174,506.97 = 120,672,783,004.65 : x
  2. Step 2: Convert to fraction form
    120,672,783,004.65/181,009,174,506.97 = 120,672,783,004.65/x
  3. Step 3: Cross multiply
    120,672,783,004.65x = 181,009,174,506.97 × 120,672,783,004.65
  4. Step 4: Simplify right side
    120,672,783,004.65x = 21,842,880,837,130,412,621,824
  5. Step 5: Solve for x
    x = 21,842,880,837,130,412,621,824/120,672,783,004.65
  6. Step 6: Final answer
    x = 181,009,174,506.97

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1.5x scale

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.