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Finding the Fourth Proportional to 470,745,438.80, 704,774,465.40 and 470,745,438.80

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Solution

The fourth proportional to 470,745,438.80, 704,774,465.40 and 470,745,438.80 is: 704,774,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,745,438.80 : 704,774,465.40 = 470,745,438.80 : x
  2. Step 2: Convert to fraction form
    470,745,438.80/704,774,465.40 = 470,745,438.80/x
  3. Step 3: Cross multiply
    470,745,438.80x = 704,774,465.40 × 470,745,438.80
  4. Step 4: Simplify right side
    470,745,438.80x = 331,769,364,969,758,400
  5. Step 5: Solve for x
    x = 331,769,364,969,758,400/470,745,438.80
  6. Step 6: Final answer
    x = 704,774,465.40

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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.