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Finding the Fourth Proportional to 3,275,503,638.15, 4,913,255,457.23 and 3,275,503,638.15

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Solution

The fourth proportional to 3,275,503,638.15, 4,913,255,457.23 and 3,275,503,638.15 is: 4,913,255,457.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275,503,638.15 : 4,913,255,457.23 = 3,275,503,638.15 : x
  2. Step 2: Convert to fraction form
    3,275,503,638.15/4,913,255,457.23 = 3,275,503,638.15/x
  3. Step 3: Cross multiply
    3,275,503,638.15x = 4,913,255,457.23 × 3,275,503,638.15
  4. Step 4: Simplify right side
    3,275,503,638.15x = 16,093,386,125,300,830,208
  5. Step 5: Solve for x
    x = 16,093,386,125,300,830,208/3,275,503,638.15
  6. Step 6: Final answer
    x = 4,913,255,457.23

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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.