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Finding the Fourth Proportional to 17,286,050,997.30, 24,265,774,866.30 and 17,286,050,997.30

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Solution

The fourth proportional to 17,286,050,997.30, 24,265,774,866.30 and 17,286,050,997.30 is: 24,265,774,866.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,286,050,997.30 : 24,265,774,866.30 = 17,286,050,997.30 : x
  2. Step 2: Convert to fraction form
    17,286,050,997.30/24,265,774,866.30 = 17,286,050,997.30/x
  3. Step 3: Cross multiply
    17,286,050,997.30x = 24,265,774,866.30 × 17,286,050,997.30
  4. Step 4: Simplify right side
    17,286,050,997.30x = 419,459,421,827,862,364,160
  5. Step 5: Solve for x
    x = 419,459,421,827,862,364,160/17,286,050,997.30
  6. Step 6: Final answer
    x = 24,265,774,866.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.