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Finding the Fourth Proportional to 544,435,868,763.90, 816,653,803,145.85 and 544,435,868,763.90

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Solution

The fourth proportional to 544,435,868,763.90, 816,653,803,145.85 and 544,435,868,763.90 is: 816,653,803,145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,435,868,763.90 : 816,653,803,145.85 = 544,435,868,763.90 : x
  2. Step 2: Convert to fraction form
    544,435,868,763.90/816,653,803,145.85 = 544,435,868,763.90/x
  3. Step 3: Cross multiply
    544,435,868,763.90x = 816,653,803,145.85 × 544,435,868,763.90
  4. Step 4: Simplify right side
    544,435,868,763.90x = 444,615,622,795,053,794,066,432
  5. Step 5: Solve for x
    x = 444,615,622,795,053,794,066,432/544,435,868,763.90
  6. Step 6: Final answer
    x = 816,653,803,145.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.