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Finding the Fourth Proportional to 7,243,344,097.80, 10,865,016,146.70 and 7,243,344,097.80

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Solution

The fourth proportional to 7,243,344,097.80, 10,865,016,146.70 and 7,243,344,097.80 is: 10,865,016,146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243,344,097.80 : 10,865,016,146.70 = 7,243,344,097.80 : x
  2. Step 2: Convert to fraction form
    7,243,344,097.80/10,865,016,146.70 = 7,243,344,097.80/x
  3. Step 3: Cross multiply
    7,243,344,097.80x = 10,865,016,146.70 × 7,243,344,097.80
  4. Step 4: Simplify right side
    7,243,344,097.80x = 78,699,050,578,701,156,352
  5. Step 5: Solve for x
    x = 78,699,050,578,701,156,352/7,243,344,097.80
  6. Step 6: Final answer
    x = 10,865,016,146.70

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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.