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Finding the Fourth Proportional to 486,515,232,023.46, 729,772,848,035.18 and 486,515,232,023.46

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Solution

The fourth proportional to 486,515,232,023.46, 729,772,848,035.18 and 486,515,232,023.46 is: 729,772,848,035.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,515,232,023.46 : 729,772,848,035.18 = 486,515,232,023.46 : x
  2. Step 2: Convert to fraction form
    486,515,232,023.46/729,772,848,035.18 = 486,515,232,023.46/x
  3. Step 3: Cross multiply
    486,515,232,023.46x = 729,772,848,035.18 × 486,515,232,023.46
  4. Step 4: Simplify right side
    486,515,232,023.46x = 355,045,606,486,256,830,644,224
  5. Step 5: Solve for x
    x = 355,045,606,486,256,830,644,224/486,515,232,023.46
  6. Step 6: Final answer
    x = 729,772,848,035.18

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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.