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Finding the Fourth Proportional to 118,098,211.20, 177,147,316.80 and 118,098,211.20

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Solution

The fourth proportional to 118,098,211.20, 177,147,316.80 and 118,098,211.20 is: 177,147,316.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,098,211.20 : 177,147,316.80 = 118,098,211.20 : x
  2. Step 2: Convert to fraction form
    118,098,211.20/177,147,316.80 = 118,098,211.20/x
  3. Step 3: Cross multiply
    118,098,211.20x = 177,147,316.80 × 118,098,211.20
  4. Step 4: Simplify right side
    118,098,211.20x = 20,920,781,232,959,712
  5. Step 5: Solve for x
    x = 20,920,781,232,959,712/118,098,211.20
  6. Step 6: Final answer
    x = 177,147,316.80

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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.