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Finding the Fourth Proportional to 193,338,454,511.67, 290,007,681,767.46 and 193,338,454,511.67

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Solution

The fourth proportional to 193,338,454,511.67, 290,007,681,767.46 and 193,338,454,511.67 is: 290,007,681,767.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,338,454,511.67 : 290,007,681,767.46 = 193,338,454,511.67 : x
  2. Step 2: Convert to fraction form
    193,338,454,511.67/290,007,681,767.46 = 193,338,454,511.67/x
  3. Step 3: Cross multiply
    193,338,454,511.67x = 290,007,681,767.46 × 193,338,454,511.67
  4. Step 4: Simplify right side
    193,338,454,511.67x = 56,069,636,989,432,939,675,648
  5. Step 5: Solve for x
    x = 56,069,636,989,432,939,675,648/193,338,454,511.67
  6. Step 6: Final answer
    x = 290,007,681,767.46

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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.