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Finding the Fourth Proportional to 97,806,657.80, 146,709,986.70 and 52,457,025.80

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Solution

The fourth proportional to 97,806,657.80, 146,709,986.70 and 52,457,025.80 is: 78,685,538.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,806,657.80 : 146,709,986.70 = 52,457,025.80 : x
  2. Step 2: Convert to fraction form
    97,806,657.80/146,709,986.70 = 52,457,025.80/x
  3. Step 3: Cross multiply
    97,806,657.80x = 146,709,986.70 × 52,457,025.80
  4. Step 4: Simplify right side
    97,806,657.80x = 7,695,969,557,439,556
  5. Step 5: Solve for x
    x = 7,695,969,557,439,556/97,806,657.80
  6. Step 6: Final answer
    x = 78,685,538.70

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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.