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Finding the Fourth Proportional to 968,347,883,635.20, 1,449,909,686,649.60 and 968,347,883,635.20

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Solution

The fourth proportional to 968,347,883,635.20, 1,449,909,686,649.60 and 968,347,883,635.20 is: 1,449,909,686,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,347,883,635.20 : 1,449,909,686,649.60 = 968,347,883,635.20 : x
  2. Step 2: Convert to fraction form
    968,347,883,635.20/1,449,909,686,649.60 = 968,347,883,635.20/x
  3. Step 3: Cross multiply
    968,347,883,635.20x = 1,449,909,686,649.60 × 968,347,883,635.20
  4. Step 4: Simplify right side
    968,347,883,635.20x = 1,404,016,976,529,316,055,613,440
  5. Step 5: Solve for x
    x = 1,404,016,976,529,316,055,613,440/968,347,883,635.20
  6. Step 6: Final answer
    x = 1,449,909,686,649.60

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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.