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Finding the Fourth Proportional to 735,561,656,140.72, 1,103,342,484,211 and 735,561,656,140.72

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Solution

The fourth proportional to 735,561,656,140.72, 1,103,342,484,211 and 735,561,656,140.72 is: 1,103,342,484,211

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,561,656,140.72 : 1,103,342,484,211 = 735,561,656,140.72 : x
  2. Step 2: Convert to fraction form
    735,561,656,140.72/1,103,342,484,211 = 735,561,656,140.72/x
  3. Step 3: Cross multiply
    735,561,656,140.72x = 1,103,342,484,211 × 735,561,656,140.72
  4. Step 4: Simplify right side
    735,561,656,140.72x = 811,576,424,976,659,345,571,840
  5. Step 5: Solve for x
    x = 811,576,424,976,659,345,571,840/735,561,656,140.72
  6. Step 6: Final answer
    x = 1,103,342,484,211

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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.