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Finding the Fourth Proportional to 147,177,073.65, 220,287,313.58 and 147,177,073.65

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Solution

The fourth proportional to 147,177,073.65, 220,287,313.58 and 147,177,073.65 is: 220,287,313.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,177,073.65 : 220,287,313.58 = 147,177,073.65 : x
  2. Step 2: Convert to fraction form
    147,177,073.65/220,287,313.58 = 147,177,073.65/x
  3. Step 3: Cross multiply
    147,177,073.65x = 220,287,313.58 × 147,177,073.65
  4. Step 4: Simplify right side
    147,177,073.65x = 32,421,242,174,188,420
  5. Step 5: Solve for x
    x = 32,421,242,174,188,420/147,177,073.65
  6. Step 6: Final answer
    x = 220,287,313.58

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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.