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Finding the Fourth Proportional to 7,728,048,205.30, 11,592,072,307.95 and 7,728,048,205.30

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Solution

The fourth proportional to 7,728,048,205.30, 11,592,072,307.95 and 7,728,048,205.30 is: 11,592,072,307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728,048,205.30 : 11,592,072,307.95 = 7,728,048,205.30 : x
  2. Step 2: Convert to fraction form
    7,728,048,205.30/11,592,072,307.95 = 7,728,048,205.30/x
  3. Step 3: Cross multiply
    7,728,048,205.30x = 11,592,072,307.95 × 7,728,048,205.30
  4. Step 4: Simplify right side
    7,728,048,205.30x = 89,584,093,595,160,838,144
  5. Step 5: Solve for x
    x = 89,584,093,595,160,838,144/7,728,048,205.30
  6. Step 6: Final answer
    x = 11,592,072,307.95

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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.