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Finding the Fourth Proportional to 1,498,459,097.10, 2,247,688,645.65 and 1,498,459,097.10

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Solution

The fourth proportional to 1,498,459,097.10, 2,247,688,645.65 and 1,498,459,097.10 is: 2,247,688,645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498,459,097.10 : 2,247,688,645.65 = 1,498,459,097.10 : x
  2. Step 2: Convert to fraction form
    1,498,459,097.10/2,247,688,645.65 = 1,498,459,097.10/x
  3. Step 3: Cross multiply
    1,498,459,097.10x = 2,247,688,645.65 × 1,498,459,097.10
  4. Step 4: Simplify right side
    1,498,459,097.10x = 3,368,069,498,522,620,928
  5. Step 5: Solve for x
    x = 3,368,069,498,522,620,928/1,498,459,097.10
  6. Step 6: Final answer
    x = 2,247,688,645.65

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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.