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Finding the Fourth Proportional to 669,351,762,078.45, 1,004,027,643,117.70 and 669,351,762,078.45

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Solution

The fourth proportional to 669,351,762,078.45, 1,004,027,643,117.70 and 669,351,762,078.45 is: 1,004,027,643,117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,351,762,078.45 : 1,004,027,643,117.70 = 669,351,762,078.45 : x
  2. Step 2: Convert to fraction form
    669,351,762,078.45/1,004,027,643,117.70 = 669,351,762,078.45/x
  3. Step 3: Cross multiply
    669,351,762,078.45x = 1,004,027,643,117.70 × 669,351,762,078.45
  4. Step 4: Simplify right side
    669,351,762,078.45x = 672,047,672,096,305,507,729,408
  5. Step 5: Solve for x
    x = 672,047,672,096,305,507,729,408/669,351,762,078.45
  6. Step 6: Final answer
    x = 1,004,027,643,117.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.