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Finding the Fourth Proportional to 413,753,413,421.67, 620,630,120,132.51 and 413,753,413,421.67

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Solution

The fourth proportional to 413,753,413,421.67, 620,630,120,132.51 and 413,753,413,421.67 is: 620,630,120,132.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,753,413,421.67 : 620,630,120,132.51 = 413,753,413,421.67 : x
  2. Step 2: Convert to fraction form
    413,753,413,421.67/620,630,120,132.51 = 413,753,413,421.67/x
  3. Step 3: Cross multiply
    413,753,413,421.67x = 620,630,120,132.51 × 413,753,413,421.67
  4. Step 4: Simplify right side
    413,753,413,421.67x = 256,787,830,677,127,129,202,688
  5. Step 5: Solve for x
    x = 256,787,830,677,127,129,202,688/413,753,413,421.67
  6. Step 6: Final answer
    x = 620,630,120,132.51

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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.