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Finding the Fourth Proportional to 384,362,607,605.55, 576,543,911,408.32 and 384,362,607,605.55

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Solution

The fourth proportional to 384,362,607,605.55, 576,543,911,408.32 and 384,362,607,605.55 is: 576,543,911,408.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,362,607,605.55 : 576,543,911,408.32 = 384,362,607,605.55 : x
  2. Step 2: Convert to fraction form
    384,362,607,605.55/576,543,911,408.32 = 384,362,607,605.55/x
  3. Step 3: Cross multiply
    384,362,607,605.55x = 576,543,911,408.32 × 384,362,607,605.55
  4. Step 4: Simplify right side
    384,362,607,605.55x = 221,601,921,188,005,045,862,400
  5. Step 5: Solve for x
    x = 221,601,921,188,005,045,862,400/384,362,607,605.55
  6. Step 6: Final answer
    x = 576,543,911,408.32

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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.