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Finding the Fourth Proportional to 120,297,223,411.73, 180,445,835,117.58 and 120,297,223,411.73

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Solution

The fourth proportional to 120,297,223,411.73, 180,445,835,117.58 and 120,297,223,411.73 is: 180,445,835,117.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,297,223,411.73 : 180,445,835,117.58 = 120,297,223,411.73 : x
  2. Step 2: Convert to fraction form
    120,297,223,411.73/180,445,835,117.58 = 120,297,223,411.73/x
  3. Step 3: Cross multiply
    120,297,223,411.73x = 180,445,835,117.58 × 120,297,223,411.73
  4. Step 4: Simplify right side
    120,297,223,411.73x = 21,707,132,940,855,713,726,464
  5. Step 5: Solve for x
    x = 21,707,132,940,855,713,726,464/120,297,223,411.73
  6. Step 6: Final answer
    x = 180,445,835,117.58

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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.