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Finding the Fourth Proportional to 324,343,488,010.30, 486,515,232,015.45 and 324,343,488,010.30

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Solution

The fourth proportional to 324,343,488,010.30, 486,515,232,015.45 and 324,343,488,010.30 is: 486,515,232,015.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,343,488,010.30 : 486,515,232,015.45 = 324,343,488,010.30 : x
  2. Step 2: Convert to fraction form
    324,343,488,010.30/486,515,232,015.45 = 324,343,488,010.30/x
  3. Step 3: Cross multiply
    324,343,488,010.30x = 486,515,232,015.45 × 324,343,488,010.30
  4. Step 4: Simplify right side
    324,343,488,010.30x = 157,798,047,322,031,442,100,224
  5. Step 5: Solve for x
    x = 157,798,047,322,031,442,100,224/324,343,488,010.30
  6. Step 6: Final answer
    x = 486,515,232,015.45

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Double scale
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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.