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Finding the Fourth Proportional to 1,708,295,542.40, 2,562,443,313.60 and 1,708,295,542.40

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Solution

The fourth proportional to 1,708,295,542.40, 2,562,443,313.60 and 1,708,295,542.40 is: 2,562,443,313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708,295,542.40 : 2,562,443,313.60 = 1,708,295,542.40 : x
  2. Step 2: Convert to fraction form
    1,708,295,542.40/2,562,443,313.60 = 1,708,295,542.40/x
  3. Step 3: Cross multiply
    1,708,295,542.40x = 2,562,443,313.60 × 1,708,295,542.40
  4. Step 4: Simplify right side
    1,708,295,542.40x = 4,377,410,490,275,565,568
  5. Step 5: Solve for x
    x = 4,377,410,490,275,565,568/1,708,295,542.40
  6. Step 6: Final answer
    x = 2,562,443,313.60

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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.