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Finding the Fourth Proportional to 160,325,999.10, 240,488,998.65 and 160,325,999.10

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Solution

The fourth proportional to 160,325,999.10, 240,488,998.65 and 160,325,999.10 is: 240,488,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,325,999.10 : 240,488,998.65 = 160,325,999.10 : x
  2. Step 2: Convert to fraction form
    160,325,999.10/240,488,998.65 = 160,325,999.10/x
  3. Step 3: Cross multiply
    160,325,999.10x = 240,488,998.65 × 160,325,999.10
  4. Step 4: Simplify right side
    160,325,999.10x = 38,556,638,981,119,800
  5. Step 5: Solve for x
    x = 38,556,638,981,119,800/160,325,999.10
  6. Step 6: Final answer
    x = 240,488,998.65

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1.5x scale

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.