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Finding the Fourth Proportional to 476,484,358.30, 714,726,537.45 and 476,484,358.30

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Solution

The fourth proportional to 476,484,358.30, 714,726,537.45 and 476,484,358.30 is: 714,726,537.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,484,358.30 : 714,726,537.45 = 476,484,358.30 : x
  2. Step 2: Convert to fraction form
    476,484,358.30/714,726,537.45 = 476,484,358.30/x
  3. Step 3: Cross multiply
    476,484,358.30x = 714,726,537.45 × 476,484,358.30
  4. Step 4: Simplify right side
    476,484,358.30x = 340,556,015,556,844,224
  5. Step 5: Solve for x
    x = 340,556,015,556,844,224/476,484,358.30
  6. Step 6: Final answer
    x = 714,726,537.45

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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.