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Finding the Fourth Proportional to 368,377,271,567.70, 552,565,907,351.55 and 368,377,271,567.70

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Solution

The fourth proportional to 368,377,271,567.70, 552,565,907,351.55 and 368,377,271,567.70 is: 552,565,907,351.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,377,271,567.70 : 552,565,907,351.55 = 368,377,271,567.70 : x
  2. Step 2: Convert to fraction form
    368,377,271,567.70/552,565,907,351.55 = 368,377,271,567.70/x
  3. Step 3: Cross multiply
    368,377,271,567.70x = 552,565,907,351.55 × 368,377,271,567.70
  4. Step 4: Simplify right side
    368,377,271,567.70x = 203,552,721,311,494,523,846,656
  5. Step 5: Solve for x
    x = 203,552,721,311,494,523,846,656/368,377,271,567.70
  6. Step 6: Final answer
    x = 552,565,907,351.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.