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Finding the Fourth Proportional to 201,623,881.40, 302,223,245.70 and 78,754,722.20

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Solution

The fourth proportional to 201,623,881.40, 302,223,245.70 and 78,754,722.20 is: 118,049,050.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,623,881.40 : 302,223,245.70 = 78,754,722.20 : x
  2. Step 2: Convert to fraction form
    201,623,881.40/302,223,245.70 = 78,754,722.20/x
  3. Step 3: Cross multiply
    201,623,881.40x = 302,223,245.70 × 78,754,722.20
  4. Step 4: Simplify right side
    201,623,881.40x = 23,801,507,757,485,844
  5. Step 5: Solve for x
    x = 23,801,507,757,485,844/201,623,881.40
  6. Step 6: Final answer
    x = 118,049,050.50

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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.