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Finding the Fourth Proportional to 366,281,008,092.60, 549,421,512,138.90 and 366,281,008,092.60

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Solution

The fourth proportional to 366,281,008,092.60, 549,421,512,138.90 and 366,281,008,092.60 is: 549,421,512,138.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,281,008,092.60 : 549,421,512,138.90 = 366,281,008,092.60 : x
  2. Step 2: Convert to fraction form
    366,281,008,092.60/549,421,512,138.90 = 366,281,008,092.60/x
  3. Step 3: Cross multiply
    366,281,008,092.60x = 549,421,512,138.90 × 366,281,008,092.60
  4. Step 4: Simplify right side
    366,281,008,092.60x = 201,242,665,333,996,960,874,496
  5. Step 5: Solve for x
    x = 201,242,665,333,996,960,874,496/366,281,008,092.60
  6. Step 6: Final answer
    x = 549,421,512,138.90

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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.