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Finding the Fourth Proportional to 363,406,500.30, 545,109,750.45 and 363,406,500.30

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Solution

The fourth proportional to 363,406,500.30, 545,109,750.45 and 363,406,500.30 is: 545,109,750.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,406,500.30 : 545,109,750.45 = 363,406,500.30 : x
  2. Step 2: Convert to fraction form
    363,406,500.30/545,109,750.45 = 363,406,500.30/x
  3. Step 3: Cross multiply
    363,406,500.30x = 545,109,750.45 × 363,406,500.30
  4. Step 4: Simplify right side
    363,406,500.30x = 198,096,426,690,440,864
  5. Step 5: Solve for x
    x = 198,096,426,690,440,864/363,406,500.30
  6. Step 6: Final answer
    x = 545,109,750.45

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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.