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Finding the Fourth Proportional to 470,745,400.30, 704,774,407.65 and 470,745,400.30

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Solution

The fourth proportional to 470,745,400.30, 704,774,407.65 and 470,745,400.30 is: 704,774,407.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,745,400.30 : 704,774,407.65 = 470,745,400.30 : x
  2. Step 2: Convert to fraction form
    470,745,400.30/704,774,407.65 = 470,745,400.30/x
  3. Step 3: Cross multiply
    470,745,400.30x = 704,774,407.65 × 470,745,400.30
  4. Step 4: Simplify right side
    470,745,400.30x = 331,769,310,650,394,624
  5. Step 5: Solve for x
    x = 331,769,310,650,394,624/470,745,400.30
  6. Step 6: Final answer
    x = 704,774,407.65

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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.