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Finding the Fourth Proportional to 473,142,906.20, 709,714,359.30 and 473,142,906.20

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Solution

The fourth proportional to 473,142,906.20, 709,714,359.30 and 473,142,906.20 is: 709,714,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,142,906.20 : 709,714,359.30 = 473,142,906.20 : x
  2. Step 2: Convert to fraction form
    473,142,906.20/709,714,359.30 = 473,142,906.20/x
  3. Step 3: Cross multiply
    473,142,906.20x = 709,714,359.30 × 473,142,906.20
  4. Step 4: Simplify right side
    473,142,906.20x = 335,796,314,531,072,960
  5. Step 5: Solve for x
    x = 335,796,314,531,072,960/473,142,906.20
  6. Step 6: Final answer
    x = 709,714,359.30

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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.