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Finding the Fourth Proportional to 667,782,468,000.10, 1,001,673,702,000.20 and 667,782,468,000.10

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Solution

The fourth proportional to 667,782,468,000.10, 1,001,673,702,000.20 and 667,782,468,000.10 is: 1,001,673,702,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,782,468,000.10 : 1,001,673,702,000.20 = 667,782,468,000.10 : x
  2. Step 2: Convert to fraction form
    667,782,468,000.10/1,001,673,702,000.20 = 667,782,468,000.10/x
  3. Step 3: Cross multiply
    667,782,468,000.10x = 1,001,673,702,000.20 × 667,782,468,000.10
  4. Step 4: Simplify right side
    667,782,468,000.10x = 668,900,136,852,490,232,528,896
  5. Step 5: Solve for x
    x = 668,900,136,852,490,232,528,896/667,782,468,000.10
  6. Step 6: Final answer
    x = 1,001,673,702,000.20

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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.