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Finding the Fourth Proportional to 147,813,101.10, 221,719,651.65 and 147,813,101.10

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Solution

The fourth proportional to 147,813,101.10, 221,719,651.65 and 147,813,101.10 is: 221,719,651.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,813,101.10 : 221,719,651.65 = 147,813,101.10 : x
  2. Step 2: Convert to fraction form
    147,813,101.10/221,719,651.65 = 147,813,101.10/x
  3. Step 3: Cross multiply
    147,813,101.10x = 221,719,651.65 × 147,813,101.10
  4. Step 4: Simplify right side
    147,813,101.10x = 32,773,069,285,198,232
  5. Step 5: Solve for x
    x = 32,773,069,285,198,232/147,813,101.10
  6. Step 6: Final answer
    x = 221,719,651.65

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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.