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Finding the Fourth Proportional to 1,146,006,449.20, 1,719,009,673.80 and 1,146,006,449.20

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Solution

The fourth proportional to 1,146,006,449.20, 1,719,009,673.80 and 1,146,006,449.20 is: 1,719,009,673.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146,006,449.20 : 1,719,009,673.80 = 1,146,006,449.20 : x
  2. Step 2: Convert to fraction form
    1,146,006,449.20/1,719,009,673.80 = 1,146,006,449.20/x
  3. Step 3: Cross multiply
    1,146,006,449.20x = 1,719,009,673.80 × 1,146,006,449.20
  4. Step 4: Simplify right side
    1,146,006,449.20x = 1,969,996,172,411,988,224
  5. Step 5: Solve for x
    x = 1,969,996,172,411,988,224/1,146,006,449.20
  6. Step 6: Final answer
    x = 1,719,009,673.80

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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.