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Finding the Fourth Proportional to 152,887,251.60, 214,646,814 and 152,887,251.60

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Solution

The fourth proportional to 152,887,251.60, 214,646,814 and 152,887,251.60 is: 214,646,814

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,887,251.60 : 214,646,814 = 152,887,251.60 : x
  2. Step 2: Convert to fraction form
    152,887,251.60/214,646,814 = 152,887,251.60/x
  3. Step 3: Cross multiply
    152,887,251.60x = 214,646,814 × 152,887,251.60
  4. Step 4: Simplify right side
    152,887,251.60x = 32,816,761,457,156,400
  5. Step 5: Solve for x
    x = 32,816,761,457,156,400/152,887,251.60
  6. Step 6: Final answer
    x = 214,646,814

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.