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Finding the Fourth Proportional to 2,068,579,964,269.70, 3,102,869,946,404.40 and 2,068,579,964,269.70

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Solution

The fourth proportional to 2,068,579,964,269.70, 3,102,869,946,404.40 and 2,068,579,964,269.70 is: 3,102,869,946,404.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068,579,964,269.70 : 3,102,869,946,404.40 = 2,068,579,964,269.70 : x
  2. Step 2: Convert to fraction form
    2,068,579,964,269.70/3,102,869,946,404.40 = 2,068,579,964,269.70/x
  3. Step 3: Cross multiply
    2,068,579,964,269.70x = 3,102,869,946,404.40 × 2,068,579,964,269.70
  4. Step 4: Simplify right side
    2,068,579,964,269.70x = 6,418,534,602,866,739,757,711,360
  5. Step 5: Solve for x
    x = 6,418,534,602,866,739,757,711,360/2,068,579,964,269.70
  6. Step 6: Final answer
    x = 3,102,869,946,404.40

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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.