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Finding the Fourth Proportional to 476,348,283,114.07, 714,522,424,671.09 and 476,348,283,114.07

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Solution

The fourth proportional to 476,348,283,114.07, 714,522,424,671.09 and 476,348,283,114.07 is: 714,522,424,671.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,348,283,114.07 : 714,522,424,671.09 = 476,348,283,114.07 : x
  2. Step 2: Convert to fraction form
    476,348,283,114.07/714,522,424,671.09 = 476,348,283,114.07/x
  3. Step 3: Cross multiply
    476,348,283,114.07x = 714,522,424,671.09 × 476,348,283,114.07
  4. Step 4: Simplify right side
    476,348,283,114.07x = 340,361,530,238,576,114,008,064
  5. Step 5: Solve for x
    x = 340,361,530,238,576,114,008,064/476,348,283,114.07
  6. Step 6: Final answer
    x = 714,522,424,671.09

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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.