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Finding the Fourth Proportional to 147,513,371.60, 206,115,612.40 and 147,513,371.60

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Solution

The fourth proportional to 147,513,371.60, 206,115,612.40 and 147,513,371.60 is: 206,115,612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,513,371.60 : 206,115,612.40 = 147,513,371.60 : x
  2. Step 2: Convert to fraction form
    147,513,371.60/206,115,612.40 = 147,513,371.60/x
  3. Step 3: Cross multiply
    147,513,371.60x = 206,115,612.40 × 147,513,371.60
  4. Step 4: Simplify right side
    147,513,371.60x = 30,404,808,924,522,768
  5. Step 5: Solve for x
    x = 30,404,808,924,522,768/147,513,371.60
  6. Step 6: Final answer
    x = 206,115,612.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.