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Finding the Fourth Proportional to 152,887,269.60, 214,646,839.20 and 152,887,269.60

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Solution

The fourth proportional to 152,887,269.60, 214,646,839.20 and 152,887,269.60 is: 214,646,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,887,269.60 : 214,646,839.20 = 152,887,269.60 : x
  2. Step 2: Convert to fraction form
    152,887,269.60/214,646,839.20 = 152,887,269.60/x
  3. Step 3: Cross multiply
    152,887,269.60x = 214,646,839.20 × 152,887,269.60
  4. Step 4: Simplify right side
    152,887,269.60x = 32,816,769,173,558,244
  5. Step 5: Solve for x
    x = 32,816,769,173,558,244/152,887,269.60
  6. Step 6: Final answer
    x = 214,646,839.20

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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.