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Finding the Fourth Proportional to 1,196,209,415.40, 1,794,314,123.10 and 1,196,209,415.40

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Solution

The fourth proportional to 1,196,209,415.40, 1,794,314,123.10 and 1,196,209,415.40 is: 1,794,314,123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,209,415.40 : 1,794,314,123.10 = 1,196,209,415.40 : x
  2. Step 2: Convert to fraction form
    1,196,209,415.40/1,794,314,123.10 = 1,196,209,415.40/x
  3. Step 3: Cross multiply
    1,196,209,415.40x = 1,794,314,123.10 × 1,196,209,415.40
  4. Step 4: Simplify right side
    1,196,209,415.40x = 2,146,375,448,237,414,656
  5. Step 5: Solve for x
    x = 2,146,375,448,237,414,656/1,196,209,415.40
  6. Step 6: Final answer
    x = 1,794,314,123.10

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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.