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Finding the Fourth Proportional to 60,997,716,448.09, 91,496,574,672.13 and 60,997,716,448.09

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Solution

The fourth proportional to 60,997,716,448.09, 91,496,574,672.13 and 60,997,716,448.09 is: 91,496,574,672.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,997,716,448.09 : 91,496,574,672.13 = 60,997,716,448.09 : x
  2. Step 2: Convert to fraction form
    60,997,716,448.09/91,496,574,672.13 = 60,997,716,448.09/x
  3. Step 3: Cross multiply
    60,997,716,448.09x = 91,496,574,672.13 × 60,997,716,448.09
  4. Step 4: Simplify right side
    60,997,716,448.09x = 5,581,082,117,821,621,600,256
  5. Step 5: Solve for x
    x = 5,581,082,117,821,621,600,256/60,997,716,448.09
  6. Step 6: Final answer
    x = 91,496,574,672.13

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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.