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Finding the Fourth Proportional to 147,445,353,046.30, 221,168,029,569.46 and 147,445,353,046.30

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Solution

The fourth proportional to 147,445,353,046.30, 221,168,029,569.46 and 147,445,353,046.30 is: 221,168,029,569.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,445,353,046.30 : 221,168,029,569.46 = 147,445,353,046.30 : x
  2. Step 2: Convert to fraction form
    147,445,353,046.30/221,168,029,569.46 = 147,445,353,046.30/x
  3. Step 3: Cross multiply
    147,445,353,046.30x = 221,168,029,569.46 × 147,445,353,046.30
  4. Step 4: Simplify right side
    147,445,353,046.30x = 32,610,198,202,423,544,119,296
  5. Step 5: Solve for x
    x = 32,610,198,202,423,544,119,296/147,445,353,046.30
  6. Step 6: Final answer
    x = 221,168,029,569.46

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1.5x scale

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.