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Finding the Fourth Proportional to 110,668,709.80, 166,003,064.70 and 77,666,223.70

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Solution

The fourth proportional to 110,668,709.80, 166,003,064.70 and 77,666,223.70 is: 116,499,335.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,668,709.80 : 166,003,064.70 = 77,666,223.70 : x
  2. Step 2: Convert to fraction form
    110,668,709.80/166,003,064.70 = 77,666,223.70/x
  3. Step 3: Cross multiply
    110,668,709.80x = 166,003,064.70 × 77,666,223.70
  4. Step 4: Simplify right side
    110,668,709.80x = 12,892,831,157,875,772
  5. Step 5: Solve for x
    x = 12,892,831,157,875,772/110,668,709.80
  6. Step 6: Final answer
    x = 116,499,335.55

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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.