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Finding the Fourth Proportional to 97,806,475.80, 146,709,713.70 and 52,456,843.80

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Solution

The fourth proportional to 97,806,475.80, 146,709,713.70 and 52,456,843.80 is: 78,685,265.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,806,475.80 : 146,709,713.70 = 52,456,843.80 : x
  2. Step 2: Convert to fraction form
    97,806,475.80/146,709,713.70 = 52,456,843.80/x
  3. Step 3: Cross multiply
    97,806,475.80x = 146,709,713.70 × 52,456,843.80
  4. Step 4: Simplify right side
    97,806,475.80x = 7,695,928,535,503,619
  5. Step 5: Solve for x
    x = 7,695,928,535,503,619/97,806,475.80
  6. Step 6: Final answer
    x = 78,685,265.70

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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.