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Finding the Fourth Proportional to 2,456,555,769.10, 3,684,833,653.65 and 2,456,555,769.10

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Solution

The fourth proportional to 2,456,555,769.10, 3,684,833,653.65 and 2,456,555,769.10 is: 3,684,833,653.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456,555,769.10 : 3,684,833,653.65 = 2,456,555,769.10 : x
  2. Step 2: Convert to fraction form
    2,456,555,769.10/3,684,833,653.65 = 2,456,555,769.10/x
  3. Step 3: Cross multiply
    2,456,555,769.10x = 3,684,833,653.65 × 2,456,555,769.10
  4. Step 4: Simplify right side
    2,456,555,769.10x = 9,051,999,370,047,738,880
  5. Step 5: Solve for x
    x = 9,051,999,370,047,738,880/2,456,555,769.10
  6. Step 6: Final answer
    x = 3,684,833,653.65

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1.5x scale

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.