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Finding the Fourth Proportional to 1,854,297,594,426.10, 2,781,446,391,639.10 and 1,854,297,594,426.10

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Solution

The fourth proportional to 1,854,297,594,426.10, 2,781,446,391,639.10 and 1,854,297,594,426.10 is: 2,781,446,391,639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854,297,594,426.10 : 2,781,446,391,639.10 = 1,854,297,594,426.10 : x
  2. Step 2: Convert to fraction form
    1,854,297,594,426.10/2,781,446,391,639.10 = 1,854,297,594,426.10/x
  3. Step 3: Cross multiply
    1,854,297,594,426.10x = 2,781,446,391,639.10 × 1,854,297,594,426.10
  4. Step 4: Simplify right side
    1,854,297,594,426.10x = 5,157,629,353,041,539,119,448,064
  5. Step 5: Solve for x
    x = 5,157,629,353,041,539,119,448,064/1,854,297,594,426.10
  6. Step 6: Final answer
    x = 2,781,446,391,639.10

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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.