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Finding the Fourth Proportional to 32,107,103,998.40, 48,160,655,997.60 and 32,107,103,998.40

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Solution

The fourth proportional to 32,107,103,998.40, 48,160,655,997.60 and 32,107,103,998.40 is: 48,160,655,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,107,103,998.40 : 48,160,655,997.60 = 32,107,103,998.40 : x
  2. Step 2: Convert to fraction form
    32,107,103,998.40/48,160,655,997.60 = 32,107,103,998.40/x
  3. Step 3: Cross multiply
    32,107,103,998.40x = 48,160,655,997.60 × 32,107,103,998.40
  4. Step 4: Simplify right side
    32,107,103,998.40x = 1,546,299,190,746,109,968,384
  5. Step 5: Solve for x
    x = 1,546,299,190,746,109,968,384/32,107,103,998.40
  6. Step 6: Final answer
    x = 48,160,655,997.60

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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.