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Finding the Fourth Proportional to 242,652,022.40, 363,978,033.60 and 78,889,462.40

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Solution

The fourth proportional to 242,652,022.40, 363,978,033.60 and 78,889,462.40 is: 118,334,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,652,022.40 : 363,978,033.60 = 78,889,462.40 : x
  2. Step 2: Convert to fraction form
    242,652,022.40/363,978,033.60 = 78,889,462.40/x
  3. Step 3: Cross multiply
    242,652,022.40x = 363,978,033.60 × 78,889,462.40
  4. Step 4: Simplify right side
    242,652,022.40x = 28,714,031,396,113,140
  5. Step 5: Solve for x
    x = 28,714,031,396,113,140/242,652,022.40
  6. Step 6: Final answer
    x = 118,334,193.60

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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.