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Finding the Fourth Proportional to 455,565,312,004.80, 683,347,968,007.20 and 455,565,312,004.80

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Solution

The fourth proportional to 455,565,312,004.80, 683,347,968,007.20 and 455,565,312,004.80 is: 683,347,968,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,565,312,004.80 : 683,347,968,007.20 = 455,565,312,004.80 : x
  2. Step 2: Convert to fraction form
    455,565,312,004.80/683,347,968,007.20 = 455,565,312,004.80/x
  3. Step 3: Cross multiply
    455,565,312,004.80x = 683,347,968,007.20 × 455,565,312,004.80
  4. Step 4: Simplify right side
    455,565,312,004.80x = 311,309,630,253,046,108,782,592
  5. Step 5: Solve for x
    x = 311,309,630,253,046,108,782,592/455,565,312,004.80
  6. Step 6: Final answer
    x = 683,347,968,007.20

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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.