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Finding the Fourth Proportional to 420,193,658.40, 630,290,487.60 and 414,454,095.60

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Solution

The fourth proportional to 420,193,658.40, 630,290,487.60 and 414,454,095.60 is: 621,681,143.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,193,658.40 : 630,290,487.60 = 414,454,095.60 : x
  2. Step 2: Convert to fraction form
    420,193,658.40/630,290,487.60 = 414,454,095.60/x
  3. Step 3: Cross multiply
    420,193,658.40x = 630,290,487.60 × 414,454,095.60
  4. Step 4: Simplify right side
    420,193,658.40x = 261,226,474,003,541,024
  5. Step 5: Solve for x
    x = 261,226,474,003,541,024/420,193,658.40
  6. Step 6: Final answer
    x = 621,681,143.40

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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.