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Finding the Fourth Proportional to 3,020,912,453.10, 4,531,368,679.65 and 3,020,912,453.10

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Solution

The fourth proportional to 3,020,912,453.10, 4,531,368,679.65 and 3,020,912,453.10 is: 4,531,368,679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020,912,453.10 : 4,531,368,679.65 = 3,020,912,453.10 : x
  2. Step 2: Convert to fraction form
    3,020,912,453.10/4,531,368,679.65 = 3,020,912,453.10/x
  3. Step 3: Cross multiply
    3,020,912,453.10x = 4,531,368,679.65 × 3,020,912,453.10
  4. Step 4: Simplify right side
    3,020,912,453.10x = 13,688,868,073,941,987,328
  5. Step 5: Solve for x
    x = 13,688,868,073,941,987,328/3,020,912,453.10
  6. Step 6: Final answer
    x = 4,531,368,679.65

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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.