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Finding the Fourth Proportional to 473,142,664.70, 709,713,997.05 and 473,142,664.70

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Solution

The fourth proportional to 473,142,664.70, 709,713,997.05 and 473,142,664.70 is: 709,713,997.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,142,664.70 : 709,713,997.05 = 473,142,664.70 : x
  2. Step 2: Convert to fraction form
    473,142,664.70/709,713,997.05 = 473,142,664.70/x
  3. Step 3: Cross multiply
    473,142,664.70x = 709,713,997.05 × 473,142,664.70
  4. Step 4: Simplify right side
    473,142,664.70x = 335,795,971,739,124,928
  5. Step 5: Solve for x
    x = 335,795,971,739,124,928/473,142,664.70
  6. Step 6: Final answer
    x = 709,713,997.05

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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.