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Finding the Fourth Proportional to 475,570,710.90, 664,438,506.30 and 475,570,710.90

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Solution

The fourth proportional to 475,570,710.90, 664,438,506.30 and 475,570,710.90 is: 664,438,506.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,570,710.90 : 664,438,506.30 = 475,570,710.90 : x
  2. Step 2: Convert to fraction form
    475,570,710.90/664,438,506.30 = 475,570,710.90/x
  3. Step 3: Cross multiply
    475,570,710.90x = 664,438,506.30 × 475,570,710.90
  4. Step 4: Simplify right side
    475,570,710.90x = 315,987,492,790,425,088
  5. Step 5: Solve for x
    x = 315,987,492,790,425,088/475,570,710.90
  6. Step 6: Final answer
    x = 664,438,506.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.