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Finding the Fourth Proportional to 7,243,346,145.98, 10,865,019,218.97 and 7,243,346,145.98

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Solution

The fourth proportional to 7,243,346,145.98, 10,865,019,218.97 and 7,243,346,145.98 is: 10,865,019,218.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243,346,145.98 : 10,865,019,218.97 = 7,243,346,145.98 : x
  2. Step 2: Convert to fraction form
    7,243,346,145.98/10,865,019,218.97 = 7,243,346,145.98/x
  3. Step 3: Cross multiply
    7,243,346,145.98x = 10,865,019,218.97 × 7,243,346,145.98
  4. Step 4: Simplify right side
    7,243,346,145.98x = 78,699,095,085,670,645,760
  5. Step 5: Solve for x
    x = 78,699,095,085,670,645,760/7,243,346,145.98
  6. Step 6: Final answer
    x = 10,865,019,218.97

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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.