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Finding the Fourth Proportional to 107,768,468.80, 161,652,703.20 and 107,768,468.80

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Solution

The fourth proportional to 107,768,468.80, 161,652,703.20 and 107,768,468.80 is: 161,652,703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,768,468.80 : 161,652,703.20 = 107,768,468.80 : x
  2. Step 2: Convert to fraction form
    107,768,468.80/161,652,703.20 = 107,768,468.80/x
  3. Step 3: Cross multiply
    107,768,468.80x = 161,652,703.20 × 107,768,468.80
  4. Step 4: Simplify right side
    107,768,468.80x = 17,421,064,301,244,858
  5. Step 5: Solve for x
    x = 17,421,064,301,244,858/107,768,468.80
  6. Step 6: Final answer
    x = 161,652,703.20

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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.