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Finding the Fourth Proportional to 109,653,773.20, 164,480,659.80 and 97,749,494.80

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Solution

The fourth proportional to 109,653,773.20, 164,480,659.80 and 97,749,494.80 is: 146,624,242.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,653,773.20 : 164,480,659.80 = 97,749,494.80 : x
  2. Step 2: Convert to fraction form
    109,653,773.20/164,480,659.80 = 97,749,494.80/x
  3. Step 3: Cross multiply
    109,653,773.20x = 164,480,659.80 × 97,749,494.80
  4. Step 4: Simplify right side
    109,653,773.20x = 16,077,901,399,820,670
  5. Step 5: Solve for x
    x = 16,077,901,399,820,670/109,653,773.20
  6. Step 6: Final answer
    x = 146,624,242.20

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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.