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Finding the Fourth Proportional to 153,025,620.30, 229,538,430.45 and 153,025,620.30

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Solution

The fourth proportional to 153,025,620.30, 229,538,430.45 and 153,025,620.30 is: 229,538,430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,025,620.30 : 229,538,430.45 = 153,025,620.30 : x
  2. Step 2: Convert to fraction form
    153,025,620.30/229,538,430.45 = 153,025,620.30/x
  3. Step 3: Cross multiply
    153,025,620.30x = 229,538,430.45 × 153,025,620.30
  4. Step 4: Simplify right side
    153,025,620.30x = 35,125,260,702,299,660
  5. Step 5: Solve for x
    x = 35,125,260,702,299,660/153,025,620.30
  6. Step 6: Final answer
    x = 229,538,430.45

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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.