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Finding the Fourth Proportional to 112,004,271,013.70, 168,006,406,520.55 and 112,004,271,013.70

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Solution

The fourth proportional to 112,004,271,013.70, 168,006,406,520.55 and 112,004,271,013.70 is: 168,006,406,520.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,004,271,013.70 : 168,006,406,520.55 = 112,004,271,013.70 : x
  2. Step 2: Convert to fraction form
    112,004,271,013.70/168,006,406,520.55 = 112,004,271,013.70/x
  3. Step 3: Cross multiply
    112,004,271,013.70x = 168,006,406,520.55 × 112,004,271,013.70
  4. Step 4: Simplify right side
    112,004,271,013.70x = 18,817,435,087,965,534,552,064
  5. Step 5: Solve for x
    x = 18,817,435,087,965,534,552,064/112,004,271,013.70
  6. Step 6: Final answer
    x = 168,006,406,520.55

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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.