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Finding the Fourth Proportional to 5,169,858,117,710.70, 7,754,787,176,566.20 and 5,169,858,117,710.70

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Solution

The fourth proportional to 5,169,858,117,710.70, 7,754,787,176,566.20 and 5,169,858,117,710.70 is: 7,754,787,176,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169,858,117,710.70 : 7,754,787,176,566.20 = 5,169,858,117,710.70 : x
  2. Step 2: Convert to fraction form
    5,169,858,117,710.70/7,754,787,176,566.20 = 5,169,858,117,710.70/x
  3. Step 3: Cross multiply
    5,169,858,117,710.70x = 7,754,787,176,566.20 × 5,169,858,117,710.70
  4. Step 4: Simplify right side
    5,169,858,117,710.70x = 40,091,149,435,889,609,238,118,400
  5. Step 5: Solve for x
    x = 40,091,149,435,889,609,238,118,400/5,169,858,117,710.70
  6. Step 6: Final answer
    x = 7,754,787,176,566.20

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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.