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Finding the Fourth Proportional to 152,887,266.10, 214,646,834.30 and 152,887,266.10

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Solution

The fourth proportional to 152,887,266.10, 214,646,834.30 and 152,887,266.10 is: 214,646,834.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,887,266.10 : 214,646,834.30 = 152,887,266.10 : x
  2. Step 2: Convert to fraction form
    152,887,266.10/214,646,834.30 = 152,887,266.10/x
  3. Step 3: Cross multiply
    152,887,266.10x = 214,646,834.30 × 152,887,266.10
  4. Step 4: Simplify right side
    152,887,266.10x = 32,816,767,673,146,708
  5. Step 5: Solve for x
    x = 32,816,767,673,146,708/152,887,266.10
  6. Step 6: Final answer
    x = 214,646,834.30

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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.