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Finding the Fourth Proportional to 735,561,615,832.90, 1,103,342,423,749.40 and 735,561,615,832.90

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Solution

The fourth proportional to 735,561,615,832.90, 1,103,342,423,749.40 and 735,561,615,832.90 is: 1,103,342,423,749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,561,615,832.90 : 1,103,342,423,749.40 = 735,561,615,832.90 : x
  2. Step 2: Convert to fraction form
    735,561,615,832.90/1,103,342,423,749.40 = 735,561,615,832.90/x
  3. Step 3: Cross multiply
    735,561,615,832.90x = 1,103,342,423,749.40 × 735,561,615,832.90
  4. Step 4: Simplify right side
    735,561,615,832.90x = 811,576,336,030,096,942,956,544
  5. Step 5: Solve for x
    x = 811,576,336,030,096,942,956,544/735,561,615,832.90
  6. Step 6: Final answer
    x = 1,103,342,423,749.40

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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.