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Finding the Fourth Proportional to 177,413,978.40, 266,120,967.60 and 164,142,938.40

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Solution

The fourth proportional to 177,413,978.40, 266,120,967.60 and 164,142,938.40 is: 246,214,407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,413,978.40 : 266,120,967.60 = 164,142,938.40 : x
  2. Step 2: Convert to fraction form
    177,413,978.40/266,120,967.60 = 164,142,938.40/x
  3. Step 3: Cross multiply
    177,413,978.40x = 266,120,967.60 × 164,142,938.40
  4. Step 4: Simplify right side
    177,413,978.40x = 43,681,877,591,715,200
  5. Step 5: Solve for x
    x = 43,681,877,591,715,200/177,413,978.40
  6. Step 6: Final answer
    x = 246,214,407.60

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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.