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Finding the Fourth Proportional to 746,495,998.40, 1,119,743,997.60 and 746,495,998.40

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Solution

The fourth proportional to 746,495,998.40, 1,119,743,997.60 and 746,495,998.40 is: 1,119,743,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,495,998.40 : 1,119,743,997.60 = 746,495,998.40 : x
  2. Step 2: Convert to fraction form
    746,495,998.40/1,119,743,997.60 = 746,495,998.40/x
  3. Step 3: Cross multiply
    746,495,998.40x = 1,119,743,997.60 × 746,495,998.40
  4. Step 4: Simplify right side
    746,495,998.40x = 835,884,413,440,819,072
  5. Step 5: Solve for x
    x = 835,884,413,440,819,072/746,495,998.40
  6. Step 6: Final answer
    x = 1,119,743,997.60

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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.