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Finding the Fourth Proportional to 50,870,702,915.10, 76,306,054,372.65 and 50,870,702,915.10

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Solution

The fourth proportional to 50,870,702,915.10, 76,306,054,372.65 and 50,870,702,915.10 is: 76,306,054,372.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,870,702,915.10 : 76,306,054,372.65 = 50,870,702,915.10 : x
  2. Step 2: Convert to fraction form
    50,870,702,915.10/76,306,054,372.65 = 50,870,702,915.10/x
  3. Step 3: Cross multiply
    50,870,702,915.10x = 76,306,054,372.65 × 50,870,702,915.10
  4. Step 4: Simplify right side
    50,870,702,915.10x = 3,881,742,622,614,545,235,968
  5. Step 5: Solve for x
    x = 3,881,742,622,614,545,235,968/50,870,702,915.10
  6. Step 6: Final answer
    x = 76,306,054,372.65

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Why These Related Problems?

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