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Finding the Fourth Proportional to 2,068,579,964,284.20, 3,102,869,946,426.20 and 2,068,579,964,284.20

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Solution

The fourth proportional to 2,068,579,964,284.20, 3,102,869,946,426.20 and 2,068,579,964,284.20 is: 3,102,869,946,426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068,579,964,284.20 : 3,102,869,946,426.20 = 2,068,579,964,284.20 : x
  2. Step 2: Convert to fraction form
    2,068,579,964,284.20/3,102,869,946,426.20 = 2,068,579,964,284.20/x
  3. Step 3: Cross multiply
    2,068,579,964,284.20x = 3,102,869,946,426.20 × 2,068,579,964,284.20
  4. Step 4: Simplify right side
    2,068,579,964,284.20x = 6,418,534,602,956,826,696,744,960
  5. Step 5: Solve for x
    x = 6,418,534,602,956,826,696,744,960/2,068,579,964,284.20
  6. Step 6: Final answer
    x = 3,102,869,946,426.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.