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Finding the Fourth Proportional to 7,382,016,127.30, 10,315,473,401.90 and 7,382,016,127.30

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Solution

The fourth proportional to 7,382,016,127.30, 10,315,473,401.90 and 7,382,016,127.30 is: 10,315,473,401.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382,016,127.30 : 10,315,473,401.90 = 7,382,016,127.30 : x
  2. Step 2: Convert to fraction form
    7,382,016,127.30/10,315,473,401.90 = 7,382,016,127.30/x
  3. Step 3: Cross multiply
    7,382,016,127.30x = 10,315,473,401.90 × 7,382,016,127.30
  4. Step 4: Simplify right side
    7,382,016,127.30x = 76,148,991,013,559,992,320
  5. Step 5: Solve for x
    x = 76,148,991,013,559,992,320/7,382,016,127.30
  6. Step 6: Final answer
    x = 10,315,473,401.90

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