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Finding the Fourth Proportional to 317,604,893,114.80, 476,407,339,672.20 and 317,604,893,114.80

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Solution

The fourth proportional to 317,604,893,114.80, 476,407,339,672.20 and 317,604,893,114.80 is: 476,407,339,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,604,893,114.80 : 476,407,339,672.20 = 317,604,893,114.80 : x
  2. Step 2: Convert to fraction form
    317,604,893,114.80/476,407,339,672.20 = 317,604,893,114.80/x
  3. Step 3: Cross multiply
    317,604,893,114.80x = 476,407,339,672.20 × 317,604,893,114.80
  4. Step 4: Simplify right side
    317,604,893,114.80x = 151,309,302,195,695,281,766,400
  5. Step 5: Solve for x
    x = 151,309,302,195,695,281,766,400/317,604,893,114.80
  6. Step 6: Final answer
    x = 476,407,339,672.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.