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Finding the Fourth Proportional to 707,880,384,000.10, 1,061,820,576,000.20 and 707,880,384,000.10

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Solution

The fourth proportional to 707,880,384,000.10, 1,061,820,576,000.20 and 707,880,384,000.10 is: 1,061,820,576,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,880,384,000.10 : 1,061,820,576,000.20 = 707,880,384,000.10 : x
  2. Step 2: Convert to fraction form
    707,880,384,000.10/1,061,820,576,000.20 = 707,880,384,000.10/x
  3. Step 3: Cross multiply
    707,880,384,000.10x = 1,061,820,576,000.20 × 707,880,384,000.10
  4. Step 4: Simplify right side
    707,880,384,000.10x = 751,641,957,078,228,889,763,840
  5. Step 5: Solve for x
    x = 751,641,957,078,228,889,763,840/707,880,384,000.10
  6. Step 6: Final answer
    x = 1,061,820,576,000.20

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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.