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Finding the Fourth Proportional to 147,744,109.65, 221,616,164.48 and 147,744,109.65

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Solution

The fourth proportional to 147,744,109.65, 221,616,164.48 and 147,744,109.65 is: 221,616,164.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,744,109.65 : 221,616,164.48 = 147,744,109.65 : x
  2. Step 2: Convert to fraction form
    147,744,109.65/221,616,164.48 = 147,744,109.65/x
  3. Step 3: Cross multiply
    147,744,109.65x = 221,616,164.48 × 147,744,109.65
  4. Step 4: Simplify right side
    147,744,109.65x = 32,742,482,904,406,836
  5. Step 5: Solve for x
    x = 32,742,482,904,406,836/147,744,109.65
  6. Step 6: Final answer
    x = 221,616,164.48

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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.