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Finding the Fourth Proportional to 17,864,065,805.40, 26,796,098,708.10 and 17,864,065,805.40

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Solution

The fourth proportional to 17,864,065,805.40, 26,796,098,708.10 and 17,864,065,805.40 is: 26,796,098,708.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,864,065,805.40 : 26,796,098,708.10 = 17,864,065,805.40 : x
  2. Step 2: Convert to fraction form
    17,864,065,805.40/26,796,098,708.10 = 17,864,065,805.40/x
  3. Step 3: Cross multiply
    17,864,065,805.40x = 26,796,098,708.10 × 17,864,065,805.40
  4. Step 4: Simplify right side
    17,864,065,805.40x = 478,687,270,649,492,340,736
  5. Step 5: Solve for x
    x = 478,687,270,649,492,340,736/17,864,065,805.40
  6. Step 6: Final answer
    x = 26,796,098,708.10

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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.