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Finding the Fourth Proportional to 363,505,644,005.10, 545,258,466,007.65 and 363,505,644,005.10

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Solution

The fourth proportional to 363,505,644,005.10, 545,258,466,007.65 and 363,505,644,005.10 is: 545,258,466,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,505,644,005.10 : 545,258,466,007.65 = 363,505,644,005.10 : x
  2. Step 2: Convert to fraction form
    363,505,644,005.10/545,258,466,007.65 = 363,505,644,005.10/x
  3. Step 3: Cross multiply
    363,505,644,005.10x = 545,258,466,007.65 × 363,505,644,005.10
  4. Step 4: Simplify right side
    363,505,644,005.10x = 198,204,529,835,343,731,490,816
  5. Step 5: Solve for x
    x = 198,204,529,835,343,731,490,816/363,505,644,005.10
  6. Step 6: Final answer
    x = 545,258,466,007.65

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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.