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Finding the Fourth Proportional to 413,753,413,404.60, 620,630,120,106.90 and 413,753,413,404.60

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Solution

The fourth proportional to 413,753,413,404.60, 620,630,120,106.90 and 413,753,413,404.60 is: 620,630,120,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,753,413,404.60 : 620,630,120,106.90 = 413,753,413,404.60 : x
  2. Step 2: Convert to fraction form
    413,753,413,404.60/620,630,120,106.90 = 413,753,413,404.60/x
  3. Step 3: Cross multiply
    413,753,413,404.60x = 620,630,120,106.90 × 413,753,413,404.60
  4. Step 4: Simplify right side
    413,753,413,404.60x = 256,787,830,655,936,733,642,752
  5. Step 5: Solve for x
    x = 256,787,830,655,936,733,642,752/413,753,413,404.60
  6. Step 6: Final answer
    x = 620,630,120,106.90

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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.