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Finding the Fourth Proportional to 414,424,398,423.60, 621,636,597,635.40 and 414,424,398,423.60

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Solution

The fourth proportional to 414,424,398,423.60, 621,636,597,635.40 and 414,424,398,423.60 is: 621,636,597,635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,424,398,423.60 : 621,636,597,635.40 = 414,424,398,423.60 : x
  2. Step 2: Convert to fraction form
    414,424,398,423.60/621,636,597,635.40 = 414,424,398,423.60/x
  3. Step 3: Cross multiply
    414,424,398,423.60x = 621,636,597,635.40 × 414,424,398,423.60
  4. Step 4: Simplify right side
    414,424,398,423.60x = 257,621,373,013,144,119,541,760
  5. Step 5: Solve for x
    x = 257,621,373,013,144,119,541,760/414,424,398,423.60
  6. Step 6: Final answer
    x = 621,636,597,635.40

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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.