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Finding the Fourth Proportional to 177,147,337.20, 265,721,005.80 and 177,147,337.20

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Solution

The fourth proportional to 177,147,337.20, 265,721,005.80 and 177,147,337.20 is: 265,721,005.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,147,337.20 : 265,721,005.80 = 177,147,337.20 : x
  2. Step 2: Convert to fraction form
    177,147,337.20/265,721,005.80 = 177,147,337.20/x
  3. Step 3: Cross multiply
    177,147,337.20x = 265,721,005.80 × 177,147,337.20
  4. Step 4: Simplify right side
    177,147,337.20x = 47,071,768,615,575,752
  5. Step 5: Solve for x
    x = 47,071,768,615,575,752/177,147,337.20
  6. Step 6: Final answer
    x = 265,721,005.80

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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.