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Finding the Fourth Proportional to 55,191,406,588.20, 82,787,109,882.30 and 55,191,406,588.20

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Solution

The fourth proportional to 55,191,406,588.20, 82,787,109,882.30 and 55,191,406,588.20 is: 82,787,109,882.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,191,406,588.20 : 82,787,109,882.30 = 55,191,406,588.20 : x
  2. Step 2: Convert to fraction form
    55,191,406,588.20/82,787,109,882.30 = 55,191,406,588.20/x
  3. Step 3: Cross multiply
    55,191,406,588.20x = 82,787,109,882.30 × 55,191,406,588.20
  4. Step 4: Simplify right side
    55,191,406,588.20x = 4,569,137,041,776,009,281,536
  5. Step 5: Solve for x
    x = 4,569,137,041,776,009,281,536/55,191,406,588.20
  6. Step 6: Final answer
    x = 82,787,109,882.30

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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.