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Finding the Fourth Proportional to 4,566,456,380.40, 6,849,684,570.60 and 4,566,456,380.40

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Solution

The fourth proportional to 4,566,456,380.40, 6,849,684,570.60 and 4,566,456,380.40 is: 6,849,684,570.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566,456,380.40 : 6,849,684,570.60 = 4,566,456,380.40 : x
  2. Step 2: Convert to fraction form
    4,566,456,380.40/6,849,684,570.60 = 4,566,456,380.40/x
  3. Step 3: Cross multiply
    4,566,456,380.40x = 6,849,684,570.60 × 4,566,456,380.40
  4. Step 4: Simplify right side
    4,566,456,380.40x = 31,278,785,811,143,802,880
  5. Step 5: Solve for x
    x = 31,278,785,811,143,802,880/4,566,456,380.40
  6. Step 6: Final answer
    x = 6,849,684,570.60

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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.