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Finding the Fourth Proportional to 1,410,228,045.45, 2,115,342,068.18 and 1,410,228,045.45

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Solution

The fourth proportional to 1,410,228,045.45, 2,115,342,068.18 and 1,410,228,045.45 is: 2,115,342,068.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,228,045.45 : 2,115,342,068.18 = 1,410,228,045.45 : x
  2. Step 2: Convert to fraction form
    1,410,228,045.45/2,115,342,068.18 = 1,410,228,045.45/x
  3. Step 3: Cross multiply
    1,410,228,045.45x = 2,115,342,068.18 × 1,410,228,045.45
  4. Step 4: Simplify right side
    1,410,228,045.45x = 2,983,114,710,260,591,104
  5. Step 5: Solve for x
    x = 2,983,114,710,260,591,104/1,410,228,045.45
  6. Step 6: Final answer
    x = 2,115,342,068.18

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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.