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Finding the Fourth Proportional to 470,745,223.80, 704,774,142.90 and 470,745,223.80

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Solution

The fourth proportional to 470,745,223.80, 704,774,142.90 and 470,745,223.80 is: 704,774,142.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,745,223.80 : 704,774,142.90 = 470,745,223.80 : x
  2. Step 2: Convert to fraction form
    470,745,223.80/704,774,142.90 = 470,745,223.80/x
  3. Step 3: Cross multiply
    470,745,223.80x = 704,774,142.90 × 470,745,223.80
  4. Step 4: Simplify right side
    470,745,223.80x = 331,769,061,627,913,664
  5. Step 5: Solve for x
    x = 331,769,061,627,913,664/470,745,223.80
  6. Step 6: Final answer
    x = 704,774,142.90

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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.