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Finding the Fourth Proportional to 5,157,029,085.90, 7,735,543,628.85 and 5,157,029,085.90

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Solution

The fourth proportional to 5,157,029,085.90, 7,735,543,628.85 and 5,157,029,085.90 is: 7,735,543,628.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157,029,085.90 : 7,735,543,628.85 = 5,157,029,085.90 : x
  2. Step 2: Convert to fraction form
    5,157,029,085.90/7,735,543,628.85 = 5,157,029,085.90/x
  3. Step 3: Cross multiply
    5,157,029,085.90x = 7,735,543,628.85 × 5,157,029,085.90
  4. Step 4: Simplify right side
    5,157,029,085.90x = 39,892,423,489,227,882,496
  5. Step 5: Solve for x
    x = 39,892,423,489,227,882,496/5,157,029,085.90
  6. Step 6: Final answer
    x = 7,735,543,628.85

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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.