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Finding the Fourth Proportional to 99,692,461.60, 149,692,657.20 and 54,342,829.60

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Solution

The fourth proportional to 99,692,461.60, 149,692,657.20 and 54,342,829.60 is: 81,598,171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,692,461.60 : 149,692,657.20 = 54,342,829.60 : x
  2. Step 2: Convert to fraction form
    99,692,461.60/149,692,657.20 = 54,342,829.60/x
  3. Step 3: Cross multiply
    99,692,461.60x = 149,692,657.20 × 54,342,829.60
  4. Step 4: Simplify right side
    99,692,461.60x = 8,134,722,562,590,813
  5. Step 5: Solve for x
    x = 8,134,722,562,590,813/99,692,461.60
  6. Step 6: Final answer
    x = 81,598,171.34

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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.