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Finding the Fourth Proportional to 98,496,627.60, 147,744,941.40 and 57,681,958.80

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Solution

The fourth proportional to 98,496,627.60, 147,744,941.40 and 57,681,958.80 is: 86,522,938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,496,627.60 : 147,744,941.40 = 57,681,958.80 : x
  2. Step 2: Convert to fraction form
    98,496,627.60/147,744,941.40 = 57,681,958.80/x
  3. Step 3: Cross multiply
    98,496,627.60x = 147,744,941.40 × 57,681,958.80
  4. Step 4: Simplify right side
    98,496,627.60x = 8,522,217,622,743,214
  5. Step 5: Solve for x
    x = 8,522,217,622,743,214/98,496,627.60
  6. Step 6: Final answer
    x = 86,522,938.20

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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.