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Finding the Fourth Proportional to 15,146,068,611.60, 22,719,102,917.40 and 15,146,068,611.60

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Solution

The fourth proportional to 15,146,068,611.60, 22,719,102,917.40 and 15,146,068,611.60 is: 22,719,102,917.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,146,068,611.60 : 22,719,102,917.40 = 15,146,068,611.60 : x
  2. Step 2: Convert to fraction form
    15,146,068,611.60/22,719,102,917.40 = 15,146,068,611.60/x
  3. Step 3: Cross multiply
    15,146,068,611.60x = 22,719,102,917.40 × 15,146,068,611.60
  4. Step 4: Simplify right side
    15,146,068,611.60x = 344,105,091,580,942,155,776
  5. Step 5: Solve for x
    x = 344,105,091,580,942,155,776/15,146,068,611.60
  6. Step 6: Final answer
    x = 22,719,102,917.40

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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.