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Finding the Fourth Proportional to 115,893,642,744.80, 173,840,464,117.20 and 115,893,642,744.80

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Solution

The fourth proportional to 115,893,642,744.80, 173,840,464,117.20 and 115,893,642,744.80 is: 173,840,464,117.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,893,642,744.80 : 173,840,464,117.20 = 115,893,642,744.80 : x
  2. Step 2: Convert to fraction form
    115,893,642,744.80/173,840,464,117.20 = 115,893,642,744.80/x
  3. Step 3: Cross multiply
    115,893,642,744.80x = 173,840,464,117.20 × 115,893,642,744.80
  4. Step 4: Simplify right side
    115,893,642,744.80x = 20,147,004,642,989,000,622,080
  5. Step 5: Solve for x
    x = 20,147,004,642,989,000,622,080/115,893,642,744.80
  6. Step 6: Final answer
    x = 173,840,464,117.20

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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.