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Finding the Fourth Proportional to 746,496,314.20, 1,117,728,932.10 and 746,496,314.20

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Solution

The fourth proportional to 746,496,314.20, 1,117,728,932.10 and 746,496,314.20 is: 1,117,728,932.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,496,314.20 : 1,117,728,932.10 = 746,496,314.20 : x
  2. Step 2: Convert to fraction form
    746,496,314.20/1,117,728,932.10 = 746,496,314.20/x
  3. Step 3: Cross multiply
    746,496,314.20x = 1,117,728,932.10 × 746,496,314.20
  4. Step 4: Simplify right side
    746,496,314.20x = 834,380,528,087,352,064
  5. Step 5: Solve for x
    x = 834,380,528,087,352,064/746,496,314.20
  6. Step 6: Final answer
    x = 1,117,728,932.10

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Double scale
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1.5x scale

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.