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Finding the Fourth Proportional to 746,496,314.40, 1,119,744,471.60 and 746,496,314.40

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Solution

The fourth proportional to 746,496,314.40, 1,119,744,471.60 and 746,496,314.40 is: 1,119,744,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,496,314.40 : 1,119,744,471.60 = 746,496,314.40 : x
  2. Step 2: Convert to fraction form
    746,496,314.40/1,119,744,471.60 = 746,496,314.40/x
  3. Step 3: Cross multiply
    746,496,314.40x = 1,119,744,471.60 × 746,496,314.40
  4. Step 4: Simplify right side
    746,496,314.40x = 835,885,121,119,175,424
  5. Step 5: Solve for x
    x = 835,885,121,119,175,424/746,496,314.40
  6. Step 6: Final answer
    x = 1,119,744,471.60

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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.