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Finding the Fourth Proportional to 83,412,021.60, 125,118,032.40 and 83,412,021.60

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Solution

The fourth proportional to 83,412,021.60, 125,118,032.40 and 83,412,021.60 is: 125,118,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,412,021.60 : 125,118,032.40 = 83,412,021.60 : x
  2. Step 2: Convert to fraction form
    83,412,021.60/125,118,032.40 = 83,412,021.60/x
  3. Step 3: Cross multiply
    83,412,021.60x = 125,118,032.40 × 83,412,021.60
  4. Step 4: Simplify right side
    83,412,021.60x = 10,436,348,021,098,300
  5. Step 5: Solve for x
    x = 10,436,348,021,098,300/83,412,021.60
  6. Step 6: Final answer
    x = 125,118,032.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.