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Finding the Fourth Proportional to 23,842,673,983.80, 35,686,526,877.90 and 23,842,673,983.80

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Solution

The fourth proportional to 23,842,673,983.80, 35,686,526,877.90 and 23,842,673,983.80 is: 35,686,526,877.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842,673,983.80 : 35,686,526,877.90 = 23,842,673,983.80 : x
  2. Step 2: Convert to fraction form
    23,842,673,983.80/35,686,526,877.90 = 23,842,673,983.80/x
  3. Step 3: Cross multiply
    23,842,673,983.80x = 35,686,526,877.90 × 23,842,673,983.80
  4. Step 4: Simplify right side
    23,842,673,983.80x = 850,862,225,963,885,789,184
  5. Step 5: Solve for x
    x = 850,862,225,963,885,789,184/23,842,673,983.80
  6. Step 6: Final answer
    x = 35,686,526,877.90

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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.