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Finding the Fourth Proportional to 147,987,005.20, 207,635,303.60 and 147,987,005.20

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Solution

The fourth proportional to 147,987,005.20, 207,635,303.60 and 147,987,005.20 is: 207,635,303.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,987,005.20 : 207,635,303.60 = 147,987,005.20 : x
  2. Step 2: Convert to fraction form
    147,987,005.20/207,635,303.60 = 147,987,005.20/x
  3. Step 3: Cross multiply
    147,987,005.20x = 207,635,303.60 × 147,987,005.20
  4. Step 4: Simplify right side
    147,987,005.20x = 30,727,326,753,556,776
  5. Step 5: Solve for x
    x = 30,727,326,753,556,776/147,987,005.20
  6. Step 6: Final answer
    x = 207,635,303.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.