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Finding the Fourth Proportional to 147,813,105.60, 221,719,658.40 and 147,813,105.60

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Solution

The fourth proportional to 147,813,105.60, 221,719,658.40 and 147,813,105.60 is: 221,719,658.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,813,105.60 : 221,719,658.40 = 147,813,105.60 : x
  2. Step 2: Convert to fraction form
    147,813,105.60/221,719,658.40 = 147,813,105.60/x
  3. Step 3: Cross multiply
    147,813,105.60x = 221,719,658.40 × 147,813,105.60
  4. Step 4: Simplify right side
    147,813,105.60x = 32,773,071,280,675,128
  5. Step 5: Solve for x
    x = 32,773,071,280,675,128/147,813,105.60
  6. Step 6: Final answer
    x = 221,719,658.40

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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.