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Finding the Fourth Proportional to 473,143,005.20, 709,714,507.80 and 473,143,005.20

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Solution

The fourth proportional to 473,143,005.20, 709,714,507.80 and 473,143,005.20 is: 709,714,507.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,143,005.20 : 709,714,507.80 = 473,143,005.20 : x
  2. Step 2: Convert to fraction form
    473,143,005.20/709,714,507.80 = 473,143,005.20/x
  3. Step 3: Cross multiply
    473,143,005.20x = 709,714,507.80 × 473,143,005.20
  4. Step 4: Simplify right side
    473,143,005.20x = 335,796,455,054,530,816
  5. Step 5: Solve for x
    x = 335,796,455,054,530,816/473,143,005.20
  6. Step 6: Final answer
    x = 709,714,507.80

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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.