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Finding the Fourth Proportional to 146,079,888,912.64, 219,119,833,368.95 and 146,079,888,912.64

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Solution

The fourth proportional to 146,079,888,912.64, 219,119,833,368.95 and 146,079,888,912.64 is: 219,119,833,368.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,079,888,912.64 : 219,119,833,368.95 = 146,079,888,912.64 : x
  2. Step 2: Convert to fraction form
    146,079,888,912.64/219,119,833,368.95 = 146,079,888,912.64/x
  3. Step 3: Cross multiply
    146,079,888,912.64x = 219,119,833,368.95 × 146,079,888,912.64
  4. Step 4: Simplify right side
    146,079,888,912.64x = 32,009,000,917,092,408,492,032
  5. Step 5: Solve for x
    x = 32,009,000,917,092,408,492,032/146,079,888,912.64
  6. Step 6: Final answer
    x = 219,119,833,368.95

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Double scale
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Similar ratio
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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.