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Finding the Fourth Proportional to 32,107,989,345.80, 48,161,984,018.70 and 32,107,989,345.80

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Solution

The fourth proportional to 32,107,989,345.80, 48,161,984,018.70 and 32,107,989,345.80 is: 48,161,984,018.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,107,989,345.80 : 48,161,984,018.70 = 32,107,989,345.80 : x
  2. Step 2: Convert to fraction form
    32,107,989,345.80/48,161,984,018.70 = 32,107,989,345.80/x
  3. Step 3: Cross multiply
    32,107,989,345.80x = 48,161,984,018.70 × 32,107,989,345.80
  4. Step 4: Simplify right side
    32,107,989,345.80x = 1,546,384,469,745,009,426,432
  5. Step 5: Solve for x
    x = 1,546,384,469,745,009,426,432/32,107,989,345.80
  6. Step 6: Final answer
    x = 48,161,984,018.70

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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.