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Finding the Fourth Proportional to 728,302,403.10, 1,092,453,604.65 and 728,302,403.10

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Solution

The fourth proportional to 728,302,403.10, 1,092,453,604.65 and 728,302,403.10 is: 1,092,453,604.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,302,403.10 : 1,092,453,604.65 = 728,302,403.10 : x
  2. Step 2: Convert to fraction form
    728,302,403.10/1,092,453,604.65 = 728,302,403.10/x
  3. Step 3: Cross multiply
    728,302,403.10x = 1,092,453,604.65 × 728,302,403.10
  4. Step 4: Simplify right side
    728,302,403.10x = 795,636,585,541,852,416
  5. Step 5: Solve for x
    x = 795,636,585,541,852,416/728,302,403.10
  6. Step 6: Final answer
    x = 1,092,453,604.65

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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.