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Finding the Fourth Proportional to 413,753,413,421.02, 620,630,120,131.53 and 413,753,413,421.02

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Solution

The fourth proportional to 413,753,413,421.02, 620,630,120,131.53 and 413,753,413,421.02 is: 620,630,120,131.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,753,413,421.02 : 620,630,120,131.53 = 413,753,413,421.02 : x
  2. Step 2: Convert to fraction form
    413,753,413,421.02/620,630,120,131.53 = 413,753,413,421.02/x
  3. Step 3: Cross multiply
    413,753,413,421.02x = 620,630,120,131.53 × 413,753,413,421.02
  4. Step 4: Simplify right side
    413,753,413,421.02x = 256,787,830,676,318,266,064,896
  5. Step 5: Solve for x
    x = 256,787,830,676,318,266,064,896/413,753,413,421.02
  6. Step 6: Final answer
    x = 620,630,120,131.53

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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.